Question

solve the exponential equation:

Answer 1

@misty1212 (because u know what your doing)

Answer 2

hey!

Answer 3

this one requires a calculator for sure

Answer 4

alright... i have that offhand... didnt think to try that hold on...

Answer 5

then add two and divide by 8

Answer 6

ok... now u lost me....

Answer 7

ok that was wrong sorry

Answer 8

lets go slowly
\[b^x=A\\
x=\frac{\log(A)}{\log(b)}\] that is called the "change of base" formula

Answer 9

ok :)

Answer 10

you have
\[125^{8x-2}=150\] so by the change of base formula
\[8x-2=\frac{\log(150)}{\log(125)}\]

Answer 11

then solve for \(x\) using regular old fashioned algebra

Answer 12

add 2, divide by 8

Answer 13

so.... ok... then what?

Answer 14

\[x=\left(\frac{\log(150)}{\log(125)}+2\right)\div 8\]

Answer 15

http://www.wolframalpha.com/input/?i=%28log%28150%29%2Flog%28125%29%2B2%29%2F8

Answer 16

great thank you so much!

Answer 17

\[\color{magenta}\heartsuit\]