Question

solve the exponential equation for x.
64^{7x - 8} = 1
x =
show calculator
related content
solving exponential equations using

Explanation:

Step1: Recall the property of exponents

Any non - zero number raised to the power of 0 is 1, i.e., $a^0 = 1$ for $a
eq0$. In the equation $64^{7x - 8}=1$, we know that $64
eq0$, so we can set the exponent equal to 0.

Step2: Solve for x

Set $7x - 8 = 0$.
Add 8 to both sides of the equation: $7x=8$.
Divide both sides by 7: $x=\frac{8}{7}$.

Answer:

$\frac{8}{7}$