Solve the exponential equation $10^{\left(6+7x\right)}+4700=107$

Learn how to solve exponential equations problems step by step online. Solve the exponential equation 10^(6+7x)+4700=107. We need to isolate the dependent variable x, we can do that by simultaneously subtracting 4700 from both sides of the equation. Canceling terms on both sides. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation. Use the following rule for logarithms: \log_b(b^k)=k.