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Mathematics 16 Online
OpenStudy (anonymous):

help please

OpenStudy (anonymous):

rishavraj (rishavraj):

wht do u think should be the first step??

OpenStudy (anonymous):

subtract 7 from both sides

rishavraj (rishavraj):

a clue 42 = 14*3 and yeah thts correct :))

OpenStudy (anonymous):

so then would it be \[42*3^{2-3a}=42^{-2a}\]

rishavraj (rishavraj):

nah nah i meant \[14\times3\times3^{2-3a} = 14\times 3^{-2a}\]

OpenStudy (anonymous):

then would you subtract 14 from both sides

rishavraj (rishavraj):

so now u can divide 14 on both sides u will get \[3^{3-3a} = 3^{-2a}\]

rishavraj (rishavraj):

@heacain girl why subtract u need to divide in this case :))

rishavraj (rishavraj):

@heacain there???

OpenStudy (anonymous):

im not good at algebra im not sure when to subtract of divide

rishavraj (rishavraj):

ok :))) so now would u be able to solve it

rishavraj (rishavraj):

see when its like x + 14 = 32 in tht case u need to subtract 14 on both sides to isolate x

rishavraj (rishavraj):

when its like 14x = 56 in this case u need to divide by 14

OpenStudy (anonymous):

right i see now i have another question like this one can you help me?

rishavraj (rishavraj):

okkk :))

OpenStudy (anonymous):

OpenStudy (anonymous):

im not sure what base they both would be at

OpenStudy (anonymous):

im thinking that it doesnt have a solution

rishavraj (rishavraj):

see in this type of question u need to equalize the base on both sides. like write 64 = 2^6 and 512 = 2^8 now proceed

OpenStudy (anonymous):

right then i did \[6(3x)=9(2x+12)\]

OpenStudy (anonymous):

and got \[18x=18x+108\]

OpenStudy (anonymous):

is that right

rishavraj (rishavraj):

so no solution :)) good work :))

OpenStudy (anonymous):

thank you

rishavraj (rishavraj):

u r most welcome :)))

OpenStudy (anonymous):

can you check my work for this one please?

rishavraj (rishavraj):

whts ur answer ??

OpenStudy (anonymous):

i did \[3b-1=b-3\]

rishavraj (rishavraj):

okk....whts ur answer???

OpenStudy (anonymous):

i got -1.5 but its not an answer so i dont know what i am doing wrong

rishavraj (rishavraj):

lol nah..... how 1.5???huh??? see first of all u need to add one on both sides..and then subtrtact b on both sides

OpenStudy (anonymous):

i added 3 to both sides

OpenStudy (anonymous):

so it would be 1

rishavraj (rishavraj):

if u added 3 tht correct but how 1?? see 3b + 2 = b now u need to isolate b ..so subtract 3b on both sides

rishavraj (rishavraj):

so 2 = -2b b = -1

rishavraj (rishavraj):

@heacain ??????

OpenStudy (anonymous):

i see now sorry my computer is acting up!!

OpenStudy (anonymous):

i just have one more is that okay?

OpenStudy (anonymous):

rishavraj (rishavraj):

u tell me this time....

rishavraj (rishavraj):

how can u equalize the base

OpenStudy (anonymous):

you would change \[25^x \to 5^2\]

rishavraj (rishavraj):

girl see ... 25 = 5^2

OpenStudy (anonymous):

\[5^{2x}=5^{x2-3}\]

OpenStudy (anonymous):

this is where im confused what do you do with the extra 2

rishavraj (rishavraj):

lol u mean \[5^{2x} = 5^{x^2 - 3}\]

rishavraj (rishavraj):

its x^2

OpenStudy (anonymous):

yea sorry

rishavraj (rishavraj):

lol okay :))

OpenStudy (anonymous):

would you just leave it off and solve without it

rishavraj (rishavraj):

wht do u mean???

OpenStudy (anonymous):

would solve without it like \[5^{2x}=5^{x-3}\]

OpenStudy (anonymous):

would it be -3 and 1

rishavraj (rishavraj):

nope its -1 and 3

OpenStudy (anonymous):

i was close just had the wrong signs

rishavraj (rishavraj):

u need to solve \[2x = x^2 -3 \]

OpenStudy (anonymous):

im not sure how to do that

rishavraj (rishavraj):

so u need to solve x^2 - 2x - 3 = 0

rishavraj (rishavraj):

http://www.purplemath.com/modules/solvquad.htm

OpenStudy (anonymous):

you factor than you would get the answer

rishavraj (rishavraj):

lol yeah :))

OpenStudy (anonymous):

i see now thank you :)

rishavraj (rishavraj):

u r most welcome :)_))) @heacain

OpenStudy (anonymous):

i might have more questions in the next section that i am learning.

rishavraj (rishavraj):

ok :)))

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