Question

Solve : 9^x=45
Help ASAP

Answer 1

x=log45/2log3

Answer 2

is that the answer or i solve for that

Answer 3

its the answer

Answer 4

can you show me the steps?

Answer 5

@MrCoolGuy

Answer 6

\(\Large \color{#000000 }{ \displaystyle a^{\color{red}{b}} =c}\)

\(\Large \color{#000000 }{ \displaystyle \log_a( a^{\color{red}{b}} )=\log_a(c)}\)

\(\Large \color{#000000 }{ \displaystyle \color{red}{b}\log_a( a)=\log_a(c)}\)

\(\Large \color{#000000 }{ \displaystyle \color{red}{b}=\log_a(c)}\)

Answer 7

I hope this makes it a little easier on the eyes, but according to @SolomonZelman reference, you should be able to apply the rule flawlessly.~

Answer 8

oh so it is right thank you

Answer 9

If you apply the rules of logarithms\( ; \)

■ Rule 1:
\(\color{#000000 }{ \displaystyle \log_x (x)=1}\)
(for positive x, except x=1)

■ Rule 2:
\(\color{#000000 }{ \displaystyle \log_x (x^y)=y\times \log_x(x) }\)
(for all exponents "y", the exponent goes on outside as shown)

Answer 10

If you want examples, proves, or other references of anything, let me know.

Answer 11

O.O