Isolate Logarithmic Expression: Isolate the logarithmic expression.To solve for x, we need to isolate the logarithmic expression. We start by dividing both sides of the equation by −7 to get rid of the coefficient in front of the log.−7log(x−10)=0log(x−10)=−70log(x−10)=0
Convert to Exponential Equation: Convert the logarithmic equation to an exponential equation.Since the base of the logarithm is not specified, it is assumed to be 10 (common logarithm). We can rewrite the equation in exponential form to isolate x−10.10log(x−10)=100x−10=1
Solve for x: Solve for x.Now that we have x−10=1, we can solve for x by adding 10 to both sides of the equation.x−10+10=1+10x=11
More problems from Find derivatives of logarithmic functions