Problem

Solve the exponential equation for \( x \).
\[
9^{3 x-10}=\left(\frac{1}{81}\right)^{\frac{1}{6}}
\]

Answer

Expert–verified

Hide Steps

Answer

x=\frac{-1}{18}+\frac{10}{3}

Steps

Step 1 ：9^{3x-10}=(81^{-1})^{\frac{1}{6}}

Step 2 ：3x-10=\frac{1}{6}(-1)

Step 3 ：x=\frac{-1}{18}+\frac{10}{3}

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More