Question

Solve 14^(x+1) = 36
x=____?
Round answer to the nearest ten thousandth.

Answer 1

Hint* \(\large lna^x = x \times ln(a)\)

So here...take the log of both sides

\[\large (x + 1) \times \ln(14) = \ln(36)\]
\[\large x + 1 = \frac{\ln(36)}{\ln(14)}\]
\[\large x = \frac{\ln(36)}{\ln(14)} - 1\]

Answer 2

so answer would be 0.3571?

Answer 3

I get 0.3579...

Answer 4

thanks man

Answer 5

No problem!

Answer 6

rounded it wrong

Answer 7

i may have a few more coming up