Question

if 4^2x-3=512 then x= ?​

Answer 1

Answer:

$\Large\boxed{X=\frac{515}{16}=32.18 }$

Step-by-step explanation:

GIVEN:

4²x-3=512

To solve this problem, first you have to isolate x on one side of the equation.

SOLUTIONS:

First, you do is solve exponent.

$\displaystyle 4^2=4*4=16$

Rewrite the problem down.

$\displaystyle 16x-3=512$

Secondly, add by 3 from both sides.

$\displaystyle 16x-3+3=512+3$

Solve.

Add the numbers from left to right.

$\displaystyle 512+3=515$

$\displaystyle 16x=515$

Then, you divide by 16 from both sides.

$\displaystyle \frac{16x}{16}=\frac{515}{16}$

Solve. (Simplify/to find the answer.)

$\displaystyle \boxed{X=\frac{515}{16}=32.18 }$

$\Large\boxed{X=\frac{515}{16}=32.18}}$

As a result, the final answer is x=515/16=32.18.