Question

PLEASE HELP ME ASAP!!!

Answer 1

Answer:

The option is C

Step-by-step explanation:

The solution is in the image

Answer 2

Use the rules of exponents and logarithms to solve the equation.

$\bf{\dfrac{1}{16}\times4^{x}=64 }$

Multiply both sides by 16.

$\bf{4^{x}=1024 }$

Take the logarithm of the two sides of the equation.

$\bf{log(4^{x} )=log(1024) }$

The logarithm of a number raised to a power is the power multiplied by the logarithm of the number.

$\bf{x \ log(4)=log(1024) }$

Divide the two sides by log(4).

$\bf{x=\dfrac{log(1024)}{log(4)} }$

By the base change formula $\bf{\frac{log(a)}{log(b)}=log_{b}(a). }$

$\bf{x=log_{4}(1024) }$

x = 5 ====> Answer

• Option C