Question

Solve for x please:

Answer 1

\[3^{3x - 1} = 7^{x +2}\]

small enough?

Answer 2

logs to the rescue

Answer 3

use property:
\[\ln (a^{n}) = n*\ln(a)\]

Answer 4

did that help ... should i continue?

Answer 5

Please continue.

From:

\[27^x = 147*7^x\]

Answer 6

I got it actually. Answer is just so different from wolfram.

Answer 7

ok
great :)

Answer 8

yeah wolfram may give in diff form ... scroll down to get alternate forms

Answer 9

\[x = \log_{27/7} (147)\]

but wolfram is:

\[\frac{ \log(3) + 2\log(7) }{ 3\log(3) - \log(7) }\]

Answer 10

wolfram will use natural log by default

Answer 11

log with diff base is usually not standard form of answer....because you cant check it with calculator

Answer 12

you can check it with a calculator though :)

log_b(x) = log(x)/log(b)

Answer 13

:)
so standard answer would be
\[x = \frac{\ln 147}{\ln 27/7}\]