What is the answer to 24*log_{10}(3x)=60 ?

The answer to 24*log_{10}(3x)=60 is x=(100sqrt(10))/3

Solve for x: 24*log_{10}(3x)=60

The solution is x=(100sqrt(10))/3

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24 \cdot lo g_{10} (3 x) = 60

x = \frac{100 10}{3}

Decimal Notation

x = 105.40925 \dots

Solution steps

24 lo g_{10} (3 x) = 60

Divide both sides by

24

lo g_{10} (3 x) = \frac{5}{2}

Apply log rules

3 x = 10010

Solve

3 x = 10010 : x = \frac{100 10}{3}

x = \frac{100 10}{3}

Verify Solutions:

x = \frac{100 10}{3}

True

The solution is

x = \frac{100 10}{3}

10 lo g_{7} (x) = 21

ln (c) = 0

lo g_{10} (\frac{1}{7} x) = - 2

lo g_{4} (3 a - 4) = 2

ln (ln (x)) = 0.5

What is the answer to 24*log_{10}(3x)=60 ?
The answer to 24*log_{10}(3x)=60 is x=(100sqrt(10))/3
Solve for x: 24*log_{10}(3x)=60
The solution is x=(100sqrt(10))/3