Question

Log question?

Answer 1

\[10e ^{2x} = 90 \]

Answer 2

need to solve algebraically for x

Answer 3

The goal is to isolate the 2x:
Begin by dividing both sides by 10:
e^2x = 9
take ln of both sides:
ln(e^2x) = ln 9; lne^2x isolates the 2x
2x = ln 9
divide both sides by 2 to isolate the x
x = (ln 9)/x =1.0986

Check: e^(2*1.9860) = 9
9 * 10 = 90

Answer 4

oh ok... how do i simplify \[2\log_{10} {\sqrt{x}} + 3\log_{10} x ^{1/3}\]

Answer 5

into a simple log, because i got logx^2... i'm not sure if that's correct

Answer 6

it is :)

Answer 7

and you can put the 2 in front of the log as well\[\log(x^2)=2\log x\]

Answer 8

lol thank you :)