What is the answer to 72=10log_{10}(x*10^{12}) ?

The answer to 72=10log_{10}(x*10^{12}) is x= 1/(10^{24/5)}

Solve for x: 72=10log_{10}(x*10^{12})

The solution is x= 1/(10^{24/5)}

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72 = 10 lo g_{10} (x \cdot 1 0^{12})

x = \frac{1}{1 0 ^{\frac{24}{5}}}

Decimal Notation

x = 0.00001 \dots

Solution steps

72 = 10 lo g_{10} (x \cdot 1 0^{12})

Switch sides

10 lo g_{10} (x 1 0^{12}) = 72

Divide both sides by

10

lo g_{10} (x 1 0^{12}) = \frac{36}{5}

Apply log rules

Solve

x = \frac{1}{1 0 ^{\frac{24}{5}}}

Verify Solutions:

x = \frac{1}{1 0 ^{\frac{24}{5}}}

True

The solution is

x = \frac{1}{1 0 ^{\frac{24}{5}}}

lo g_{27} (x) = - \frac{1}{3}

\frac{w}{lo g _{2} ( w + 1 )} = 3

lo g_{10} (n) = 1000

0.47 = ln (y)

ln (2 x) - 3 ln (x^{3}) = 0

What is the answer to 72=10log_{10}(x*10^{12}) ?
The answer to 72=10log_{10}(x*10^{12}) is x= 1/(10^{24/5)}
Solve for x: 72=10log_{10}(x*10^{12})
The solution is x= 1/(10^{24/5)}