What is the answer to log_{x}(5)=0.7 ?

The answer to log_{x}(5)=0.7 is x=5*5^{3/7}

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log_{x}(5)=0.7

lo g_{x} (5) = 0.7

x = 5 \cdot 5^{\frac{3}{7}}

Decimal

x = 9.96617 \dots

Solution steps

lo g_{x} (5) = 0.7

Apply log rules

\frac{1}{lo g _{5} ( x )} = 0.7

Multiply both sides by

lo g_{5} (x)

\frac{1}{lo g _{5} ( x )} lo g_{5} (x) = 0.7 lo g_{5} (x)

Simplify

1 = 0.7 lo g_{5} (x)

Switch sides

0.7 lo g_{5} (x) = 1

Multiply both sides by

10

7 lo g_{5} (x) = 10

Divide both sides by

7

lo g_{5} (x) = \frac{10}{7}

Apply log rules

x = 5 \cdot 5^{\frac{3}{7}}

Verify Solutions:

x = 5 \cdot 5^{\frac{3}{7}}

True

The solution is

x = 5 \cdot 5^{\frac{3}{7}}

lo g_{6} (2 x^{2} - 8 x + 12) = 2

lo g_{x} (1) = 7

lo g_{3} (x - 1) = e

(ln (x))^{3} = 3 ln (x)

lo g_{4} (x^{2} - x - 5) = 2

What is the answer to log_{x}(5)=0.7 ?
The answer to log_{x}(5)=0.7 is x=5*5^{3/7}
Solve for x: log_{x}(5)=0.7
The solution is x=5*5^{3/7}