Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for m
Solve for n
Solve for p
m=nlog2(3)−log2(p)
Evaluate
3n=2mp
Rewrite the expression
3n=p×2m
Swap the sides of the equation
p×2m=3n
Divide both sides
pp×2m=p3n
Divide the numbers
2m=p3n
Take the logarithm of both sides
log2(2m)=log2(p3n)
Evaluate the logarithm
m=log2(p3n)
Solution
More Steps
Evaluate
log2(p3n)
Use loga(yx)=loga(x)−loga(y) to transform the expression
log2(3n)−log2(p)
Use logabn=nlogab to simplify the expression
nlog2(3)−log2(p)
m=nlog2(3)−log2(p)
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