Question

How do you solve `\frac { 1} { 16} \cdot 4^ { x } = 20`?

Answer 1

`x~~4.161`

Explanation:

If `1/6 * 4^x=20`
then
`color(white)("XXX")4^x=16 * 20=4^3 * 5`

`color(white)("XXX")4^(x-3)=5`

`color(white)("XXX")x-3=log_4 5 =~~1.16096407` (using calculator)

`color(white)("XXX")x=4.16096407`