Basic Math Examples

Solve for y 5^(y-4)=3^(2y)
Step 1
Take the log of both sides of the equation.
Step 2
Expand by moving outside the logarithm.
Step 3
Expand by moving outside the logarithm.
Step 4
Solve the equation for .
Tap for more steps...
Step 4.1
Simplify .
Tap for more steps...
Step 4.1.1
Rewrite.
Step 4.1.2
Simplify by adding zeros.
Step 4.1.3
Apply the distributive property.
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Add to both sides of the equation.
Step 4.4
Factor out of .
Tap for more steps...
Step 4.4.1
Factor out of .
Step 4.4.2
Factor out of .
Step 4.4.3
Factor out of .
Step 4.5
Divide each term in by and simplify.
Tap for more steps...
Step 4.5.1
Divide each term in by .
Step 4.5.2
Simplify the left side.
Tap for more steps...
Step 4.5.2.1
Cancel the common factor of .
Tap for more steps...
Step 4.5.2.1.1
Cancel the common factor.
Step 4.5.2.1.2
Divide by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: