Trigonometry Examples

Solve for m a=10^(1.5m+4.8)
Step 1
Rewrite the equation as .
Step 2
Take the base logarithm of both sides of the equation to remove the variable from the exponent.
Step 3
Expand the left side.
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Step 3.1
Expand by moving outside the logarithm.
Step 3.2
Logarithm base of is .
Step 3.3
Multiply by .
Step 4
Subtract from both sides of the equation.
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 5.3
Simplify the right side.
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Step 5.3.1
Simplify each term.
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Step 5.3.1.1
Multiply by .
Step 5.3.1.2
Factor out of .
Step 5.3.1.3
Separate fractions.
Step 5.3.1.4
Divide by .
Step 5.3.1.5
Divide by .
Step 5.3.1.6
Divide by .