Algebra Examples

Solve for x log base 4 of x=3/2
Step 1
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 2
Solve for .
Tap for more steps...
Step 2.1
Rewrite the equation as .
Step 2.2
Simplify .
Tap for more steps...
Step 2.2.1
Simplify the expression.
Tap for more steps...
Step 2.2.1.1
Rewrite as .
Step 2.2.1.2
Apply the power rule and multiply exponents, .
Step 2.2.2
Cancel the common factor of .
Tap for more steps...
Step 2.2.2.1
Cancel the common factor.
Step 2.2.2.2
Rewrite the expression.
Step 2.2.3
Raise to the power of .