Isolating a logarithm and using the power rule to solve

The video tutorial explains how to solve a logarithmic equation by isolating the logarithm, applying the power rule, converting it to exponential form, and solving the resulting equation. The process involves using mathematical rules such as the power rule of logarithms and the power of power rule of exponents to simplify and solve for the variable X.

What is the first step in solving a logarithmic equation to convert it into exponential form?

• Use the quadratic formula

• Convert directly to exponential form

• Isolate the logarithm

• Apply the power rule of logarithms

Which rule allows you to rewrite a number multiplied by a logarithm as an exponent inside the logarithm?

• Quotient rule of logarithms

• Product rule of exponents

• Power rule of logarithms

• Chain rule

How do you solve an equation with an exponent raised to another exponent?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

What is the result of 5 raised to the 6th power?

• 625

• 125

• 15625

• 3125

What is the final value of X in the equation after solving?

• X = ±2

• X = ±3

• X = ±4

• X = ±5