Question

log question

Answer 1

solve:
\[\log_3(3x+14)-\log_35=\log_3 2x\]

Answer 2

how would you start ??/
first cancel out the log ??

Answer 3

i'm not quite sure

Answer 4

do u know an example?

Answer 5

if so look it over

Answer 6

this question is same as the previous one.
the only difference is there is minus sign so you should apply
subtraction rule.

Answer 7

that's what I thought, but then I was looking over the last question and I got confused because I'm not sure where the negative went

Answer 8

\[\huge\rm \log_b x+ \log_b y = \log_b ~(xy)\]
addition to multiplication
\[\huge\rm \log_b x - \log_b y= \log_b \frac{x}{y}\]
subtracation to division

Answer 9

\[\frac{ 3x+14 }{ 5 }=2x\]

Answer 10

looks good solve for x

Answer 11

that's where I get confused

Answer 12

do I multiply by 5?

Answer 13

yes right.

Answer 14

x=2

Answer 15

\[\frac{ 3x+14 }{ 5 }=2x\]
substitute x for 2
if both sides are equal then yes x=2 is correct

Answer 16

it is :D

Answer 17

alright good