Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

Solve the exponential equation below.

OpenStudy (anonymous):

jhonyy9 (jhonyy9):

???

OpenStudy (anonymous):

9^2x+1=(1/27)^7x-5

jhonyy9 (jhonyy9):

us 9=3 squared and 1/27 = 3 on exponent -3

jhonyy9 (jhonyy9):

after thhis us ligarithm

jhonyy9 (jhonyy9):

sorry logarithm

jhonyy9 (jhonyy9):

like log base 3

OpenStudy (anonymous):

Im not really sure how i would apply that on this problem

jhonyy9 (jhonyy9):

so there will be 2log3(3) this will be 9

jhonyy9 (jhonyy9):

and -3log3(3) this will be 1/27

jhonyy9 (jhonyy9):

and now after this you will get that 2(2x+1)= -3(7x-5) these will be exponents og log3(3) on both sides

jhonyy9 (jhonyy9):

ok ?

jhonyy9 (jhonyy9):

now you need just equalis those exponets and calcule for what value of x this is equal

jhonyy9 (jhonyy9):

ok ?

OpenStudy (anonymous):

do i need to distribute the 2 and the -3?

OpenStudy (anonymous):

then solve for x?

jhonyy9 (jhonyy9):

yes this equation - equality - what you have got from exponents

jhonyy9 (jhonyy9):

comen now is easy

jhonyy9 (jhonyy9):

4x+2= -21x+15

jhonyy9 (jhonyy9):

right ?

OpenStudy (anonymous):

x=13/25?

jhonyy9 (jhonyy9):

yes was difficile ?

OpenStudy (anonymous):

not after i had the 2(2x+1) but i dont know the log stuff or exactly how you got there

jhonyy9 (jhonyy9):

check it in your math book when there are exercise like this we need using logarithm to getting the finaly equation after what we can solve it we will get the neecessary solutions

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!