What is the answer to solvefor b,log_{b}(144)=2 ?

The answer to solvefor b,log_{b}(144)=2 is b=12

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Solve for b log base b of 144=2

solve for

b, lo g_{b} (144) = 2

b = 12

Solution steps

lo g_{b} (144) = 2

Apply log rules

\frac{1}{lo g _{144} ( b )} = 2

Multiply both sides by

lo g_{144} (b)

\frac{1}{lo g _{144} ( b )} lo g_{144} (b) = 2 lo g_{144} (b)

Simplify

1 = 2 lo g_{144} (b)

Switch sides

2 lo g_{144} (b) = 1

Divide both sides by

2

lo g_{144} (b) = \frac{1}{2}

Apply log rules

b = 12

Verify Solutions:

b = 12

True

The solution is

b = 12

2 lo g_{10} (2)

x, lo g_{x} (8) = 0.5

x, lo g_{2} (8) = x

lo g_{2} (15)

\frac{lo g _{10} ( y )}{( x ^{4} )}

What is the answer to solvefor b,log_{b}(144)=2 ?
The answer to solvefor b,log_{b}(144)=2 is b=12