What is the answer to log_{x}(18)=7.01 ?

The answer to log_{x}(18)=7.01 is x=18^{100/701}

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log_{x}(18)=7.01

lo g_{x} (18) = 7.01

x = 1 8^{\frac{100}{701}}

Decimal Notation

x = 1.51031 \dots

Solution steps

lo g_{x} (18) = 7.01

Apply log rules

\frac{1}{lo g _{18} ( x )} = 7.01

Multiply both sides by

lo g_{18} (x)

\frac{1}{lo g _{18} ( x )} lo g_{18} (x) = 7.01 lo g_{18} (x)

Simplify

1 = 7.01 lo g_{18} (x)

Switch sides

7.01 lo g_{18} (x) = 1

Multiply both sides by

100

701 lo g_{18} (x) = 100

Divide both sides by

701

lo g_{18} (x) = \frac{100}{701}

Apply log rules

x = 1 8^{\frac{100}{701}}

Verify Solutions:

x = 1 8^{\frac{100}{701}}

True

The solution is

x = 1 8^{\frac{100}{701}}

12 = lo g_{5} (x + 150) + 9

\frac{x ln ( x + 3 )}{x ^{2} + 1} = 0

lo g_{9} (a) = 12

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

ln (X - 2 X^{2}) - ln (4) = 0

What is the answer to log_{x}(18)=7.01 ?
The answer to log_{x}(18)=7.01 is x=18^{100/701}
Solve for x: log_{x}(18)=7.01
The solution is x=18^{100/701}