Logarithm Review

Convert to exponential form: $$\log_5x=3$$

Convert to log form: $$e^x=13$$

Find the Inverse: $$y=\log_3\left(x+1\right)$$

Determine the vertical asymptote of the function: $$f\left(x\right)=4\log_5\left(x-6\right)+1$$

Expand the logarithm: $$\log_34x^5$$

Condense and simplify the logarithmic expression: $$8\log_5x-4\log_5x$$

Solve using common bases: $$3\left(5^{x+7}\right)=75$$

Solve using logs (round to nearest hundredth): $$7\left(4^x\right)+12=54$$

Solve the equation: $$\log_3\left(3x-11\right)=\log_3\left(7x-35\right)$$

Solve the Log equation: $$\log_6\left(8x-136\right)=3$$