Question

I need help, If anyone could please help me I'd appreciate it:) I will leave equation below.

Answer 1

Solve the Equation below:
\[4^\left( 3x-5 \right)=256\]

Answer 2

Sorry

Answer 3

It's fine, thanks:)

Answer 4

I don't expect the answer, I would like to know how to solve this kind of equation.

Answer 5

Do you know what is the common denominator for 9/16

Answer 6

Nope

Answer 7

\(\rm \color{#20bd23}{4^{3x~-~5}~=~256}\)

First you gotta take log on both sides of the equation, because we are solving for the exponent

\(\rm \color{#20bd23}{log4^{3x~-~5}~=~log256}\)

Do you know what to do next?

Answer 8

If not.. I will get back to you. I have to do something and I am not sure how long it will take

Answer 9

Yes:)

Answer 10

No worries, go ahead and do what you have to do. Thank you :)

Answer 11

rewrite 256 as a power to the base of 4. then, since they have the same base, make the exponents equal to each other then solve.

Answer 12

\(\Large \bf 4^{3x-5}=256\qquad {\color{brown}{ 2^8=256}}\qquad 4^{3x-5}=2^8\qquad x=?\)

Answer 13

hmmm actaullly

Answer 14

\(\Large \bf 4^{3x-5}=256\qquad {\color{brown}{ 4^4=256}}\qquad 4^{3x-5}=4^4\qquad x=?\)

Answer 15

I don't quite understand what I have to do with
\[4^{3x-5}=4^{4}\]

Answer 16

Okay I am back

Answer 17

\(\rm \color{#20bd23}{4^4~=~256}\) @jackoo

Answer 18

okay, so since the bases are the same, 3x-5=4. solve for x

Answer 19

@sammixboo Okay, I understand that, @iishineontheinside oh okay

Answer 20

Yes, to solve for x in \(\rm \color{#20bd23}{3x~-~5~=~4}\), you first have add 5 on both sides of the equation

\(\rm \color{#20bd23}{3x~-~5~+~5~=~4~+~5}\)

\(\rm \color{#20bd23}{3x~=~4~+~5}\)

Do you know what to do next?

Answer 21

Yes, I would have to divide the 3 on both sides giving me x=3

Answer 22

Correct :)

Answer 23

That would be all?:)

Answer 24

that would be all for the question

Answer 25

I see, thank you all very much:)