Solve for a ( log of a)/( log of 6)=y

Math
log(a)log(6)=y
Multiply both sides of the equation by log(6).
log(6)⋅log(a)log(6)=log(6)⋅y
Simplify both sides of the equation.
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Cancel the common factor of log(6).
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Cancel the common factor.
log(6)⋅log(a)log(6)=log(6)⋅y
Rewrite the expression.
log(a)=log(6)⋅y
log(a)=log(6)⋅y
Reorder factors in log(6)y.
log(a)=ylog(6)
log(a)=ylog(6)
Rewrite log(a)=ylog(6) in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb(x)=y is equivalent to by=x.
10ylog(6)=a
Solve for a
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Rewrite log(6) as log(2(3)).
10ylog(2(3))=a
Rewrite log(2(3)) as log(2)+log(3).
10y(log(2)+log(3))=a
Apply the distributive property.
10ylog(2)+ylog(3)=a
Rewrite the equation as a=10ylog(2)+ylog(3).
a=10ylog(2)+ylog(3)
a=10ylog(2)+ylog(3)
Solve for a ( log of a)/( log of 6)=y

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