Question

Use the power rule to simplify this and solve for 't'

$$8^{(-5t + 5)} = 5^{(7t + 3)}$$

Accepted Answer

$$t=\frac{  3\ln{5}  - 5\ln{8}}{  -5\ln{8} - 7\ln{5}}$$

Answer

$$t=\frac{  7\ln{5} + 5\ln{8}}{  5\ln{8} - 3\ln{5}}$$

Answer

$$t=\frac{  3\ln{8} - 5\ln{5}}{  -5\ln{5} - 7\ln{8}}$$

Logarithm Algebra (Power Property) - Isolote Exponent, Two Binomials (Coefficient N) to Answer