Method Solving Logarithmic Equations Algebraically
A can be solved using powers to undo the logarithm.
logb(x)=y
In the equation above, the base of the logarithm is
b. Therefore, to isolate
x, both sides should be raised so they become the exponent of a power with base
b.
blogb(x)=by
Since exponents and logarithms are ,
x becomes isolated and the right-hand side can be evaluated.
x=by
Start solving by raising both sides so they become the exponent of a power with base
2.
log2(x)=8
2LHS=2RHS
2log2(x)=28
2log2(m)=m
x=28
x=256