Pre-Algebra Examples

Solve for x 8^(x-3)=467
Step 1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2
Expand by moving outside the logarithm.
Step 3
Simplify the left side.
Tap for more steps...
Step 3.1
Apply the distributive property.
Step 4
Move all the terms containing a logarithm to the left side of the equation.
Step 5
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 5.1
Add to both sides of the equation.
Step 5.2
Add to both sides of the equation.
Step 6
Divide each term in by and simplify.
Tap for more steps...
Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
Tap for more steps...
Step 6.2.1
Cancel the common factor of .
Tap for more steps...
Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
Tap for more steps...
Step 6.3.1
Cancel the common factor of .
Tap for more steps...
Step 6.3.1.1
Cancel the common factor.
Step 6.3.1.2
Divide by .
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: