Basic Math Examples

Solve for n 27*5^3=15^n
Step 1
Rewrite the equation as .
Step 2
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 3
Expand by moving outside the logarithm.
Step 4
Simplify the right side.
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Step 4.1
Simplify .
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Step 4.1.1
Raise to the power of .
Step 4.1.2
Multiply by .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: