Question

Help!!! 3(5)^2x-3 =6

Answer 1

\[3\times 5^{2x}-3=6\]
\[3\times 5^{2x}=9\]
\[5^{2x}=3\] is a start

Answer 2

unless i read it wrong
is it \[3\times 5^{2x-3}=9\]?

Answer 3

if it is the latter, then start with
\[5^{2x-3}=3\] which one might it be?

Answer 4

The first one is correct the one you started

Answer 5

Actually it's the latter

Answer 6

ok so now it looks like we want it
\[5^{2x}=3\]

then\[b^x=A\iff x=\frac{\ln(A)}{\ln(b)}\]
you have
\[5^{2x}=3\] so
\[2x=\frac{\ln(3)}{\ln(5)}\] making
\[x=\frac{\ln(3)}{2\ln(5)}\]

Answer 7

Except it equals6

Answer 8

I'm sorry

Answer 9

is it this \[3\times 5^{2x-3}=9\]

Answer 10

Yeah but it equals 6 instead of 9

Answer 11

\[3\times 5^{2x-3}=6\]?

Answer 12

divide by 3, get
\[5^{2x-3}=2\]

Answer 13

then
\[2x-3=\frac{\ln(2)}{\ln(5)}\]

Answer 14

add three and divide by 2 to solve for \(x\)

Answer 15

Okay Is the answer x=1.71