What is the answer to log_{a}(49)=2 ?

The answer to log_{a}(49)=2 is a=7

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log_{a}(49)=2

lo g_{a} (49) = 2

a = 7

Solution steps

lo g_{a} (49) = 2

Apply log rules

\frac{1}{lo g _{49} ( a )} = 2

Multiply both sides by

lo g_{49} (a)

\frac{1}{lo g _{49} ( a )} lo g_{49} (a) = 2 lo g_{49} (a)

Simplify

1 = 2 lo g_{49} (a)

Switch sides

2 lo g_{49} (a) = 1

Divide both sides by

2

lo g_{49} (a) = \frac{1}{2}

Apply log rules

a = 7

Verify Solutions:

a = 7

True

The solution is

a = 7

3 ln (x + 3) = 6

1 = \frac{1}{n} lo g_{10} (n)

x, y = ln (x + y - 5)

lo g_{10} (x) = - 6.2

lo g_{10} (x) = - 6.8