What is the answer to 4=3.1+log_{10}(x/(0.1)) ?

The answer to 4=3.1+log_{10}(x/(0.1)) is x=10^{0.9}*0.1

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4=3.1+log_{10}(x/(0.1))

4 = 3.1 + lo g_{10} (\frac{x}{0.1})

x = 1 0^{0.9} \cdot 0.1

Decimal Notation

x = 0.79432 \dots

Solution steps

4 = 3.1 + lo g_{10} (\frac{x}{0.1})

Switch sides

3.1 + lo g_{10} (\frac{x}{0.1}) = 4

Move

3.1

to the right side

lo g_{10} (\frac{x}{0.1}) = 0.9

Apply log rules

\frac{x}{0.1} = 1 0^{0.9}

Multiply both sides by

0.1

\frac{x}{0.1} \cdot 0.1 = 1 0^{0.9} \cdot 0.1

Simplify

x = 1 0^{0.9} \cdot 0.1

Verify Solutions:

x = 1 0^{0.9} \cdot 0.1

True

The solution is

x = 1 0^{0.9} \cdot 0.1

lo g_{10} (x) = lo g_{10} (101.13)

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

ln (x) 4 - ln (x) 2 = 2

8 ln (9) = ln (a) + 12 ln (3)

50 = 68 - 20 lo g_{10} (t + 1)

What is the answer to 4=3.1+log_{10}(x/(0.1)) ?
The answer to 4=3.1+log_{10}(x/(0.1)) is x=10^{0.9}*0.1
Solve for x: 4=3.1+log_{10}(x/(0.1))
The solution is x=10^{0.9}*0.1