Solve the following exponential equation 61 4x 7x What is

Solve the following exponential equation. 6^1 - 4x = 7^x What is the exact answer? Select the correct choice below and fill in any answer boxes in your choice. x = square (Type an answer.) There is no solution. What is the answer approximated to 3 decimal places? select the correct choice below and fill in any answer boxes in your choice. x square (Type an integer or decimal rounded to three decimal places as needed.) There is no solution.

Solution

6^(1 - 4x) = 7^x

Taking log on both sides

(1 - 4x)*log6 = x*log7

1 - 4x = 1.086*x

1 = 5.086*x

x = 0.1966