What is the answer to solvefor a,log_{a}(3)=0.44 ?

The answer to solvefor a,log_{a}(3)=0.44 is a=9*3^{3/11}

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solvefor a,log_{a}(3)=0.44

solve for

a, lo g_{a} (3) = 0.44

a = 9 \cdot 3^{\frac{3}{11}}

Decimal

a = 12.14413 \dots

Solution steps

lo g_{a} (3) = 0.44

Apply log rules

\frac{1}{lo g _{3} ( a )} = 0.44

Multiply both sides by

lo g_{3} (a)

\frac{1}{lo g _{3} ( a )} lo g_{3} (a) = 0.44 lo g_{3} (a)

Simplify

1 = 0.44 lo g_{3} (a)

Switch sides

0.44 lo g_{3} (a) = 1

Multiply both sides by

100

44 lo g_{3} (a) = 100

Divide both sides by

44

lo g_{3} (a) = \frac{25}{11}

Apply log rules

a = 9 \cdot 3^{\frac{3}{11}}

Verify Solutions:

a = 9 \cdot 3^{\frac{3}{11}}

True

The solution is

a = 9 \cdot 3^{\frac{3}{11}}

lo g_{7} (2 x + 25) = 2

x = ln (1 + n)

lo g_{10} (x - 1) = 2 lo g_{10} (3)

ln (x - 7) - ln (3) = 2

2 ln (x) = 12

What is the answer to solvefor a,log_{a}(3)=0.44 ?
The answer to solvefor a,log_{a}(3)=0.44 is a=9*3^{3/11}