Question

Solve exponential equation 1/16=64^4x-3

Answer 1

Fraction form: x=7/12

Steps:

64^4x-3

2^6(4x-3)=2^-4

6(4x-3)=-4

4x-3=-2/3

4x=7/3

X=7/12

Answer 2

Answer: assuming that this was your equation;

$\frac{1}{16} =64^{4x-3}$

You answer is x= 7/12

Step-by-step explanation:

First, rewrite 1/16 as 2^-4 and 64^4x-3 as 2^24x-18

This will leave you with;$2^{-4} =2^{24x-18}$

Since bases are the same, set the exponents equal (eliminate the 2’s);

-4=24x-18

Move 24x to the left to get; -24x-4=-18

Move constant to the right to get -24x=-18+4

Add 4 to -18 to get; -24x=-14

Divide both sides by -24 to get you final answer for x which is 7/12

Hope this helps. Please rate and hit that thanks button. Cheers!