What is the answer to 7.6=log_{10}(x/4) ?

The answer to 7.6=log_{10}(x/4) is x=10^{7.6}*4

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7.6=log_{10}(x/4)

7.6 = lo g_{10} (\frac{x}{4})

x = 1 0^{7.6} \cdot 4

Decimal Notation

x = 159242868.22139 \dots

Solution steps

7.6 = lo g_{10} (\frac{x}{4})

Apply log rules

1 0^{7.6} = \frac{x}{4}

Multiply both sides by

4

1 0^{7.6} \cdot 4 = \frac{x}{4} \cdot 4

Simplify

1 0^{7.6} \cdot 4 = x

Switch sides

x = 1 0^{7.6} \cdot 4

Verify Solutions:

x = 1 0^{7.6} \cdot 4

True

The solution is

x = 1 0^{7.6} \cdot 4

\frac{9}{4} lo g_{5} (x) = - 8

16 t^{2} ln (t) + 8 t^{2} = 0

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

2.44 = - lo g_{10} (x)

\frac{( ln ( x ) )}{x} y = 0

What is the answer to 7.6=log_{10}(x/4) ?
The answer to 7.6=log_{10}(x/4) is x=10^{7.6}*4
Solve for x: 7.6=log_{10}(x/4)
The solution is x=10^{7.6}*4