Question

solve: 6^6x=124 Round to the nearest ten-thousandth

Answer 1

do you know about logs...?

Answer 2

Kinda sorta !
I got 0.8034 , am i right??

Answer 3

I just am not sure how to round to the nearest ten thousandth

Answer 4

nope

here is my solution

take the base 6 log of both sides

using the log law

\[\log _{a}a^b = b\]

then
\[\log _{6}6^x = \log _{6}(124)\]


or \[6x = \log _{6}(124)\]

next use change of base to base e logs on the right hand side

\[6x = \frac{\ln(124)}{\ln(6)}\]

6x = 2.69025

divide by 6 gives

x = 448375

you'll need to round the answer

Answer 5

I diiiiiid it (: thank you SOooooo much !

Answer 6

oops I forgot a decimal point x = 0.448375