Solve the following exponential equation by first converting the terms into the same bases.

7^x = 343

Solve the following logarithmic equation and, where necessary, reject any x-value that makes the original function undefined. Use a calculator to approximate your solution to three decimal places.

log(5x) + log(x + 2) = log15

Solve the following exponential equation. Give your answer in terms of natural or common logarithms and also give its decimal approximation (3 decimal places).

5^2x + 6(5^x) - 7 = 0

Find x. 

(x + 36)/(6x + 1) = 7/x

Consider the one-to-one function f(x) = 14^x + 8. Determine the equation of its inverse function.

Solve the following equation for x and round the answer to the nearest thousandth:

Solve the following equation for x and provide an exact solution

 2e^2x + e^x = 15