What is the answer to 5.74=4.8+log_{10}(x/(0.05)) ?

The answer to 5.74=4.8+log_{10}(x/(0.05)) is x=10^{0.94}*0.05

Solve for x: 5.74=4.8+log_{10}(x/(0.05))

The solution is x=10^{0.94}*0.05

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5.74 = 4.8 + lo g_{10} (\frac{x}{0.05})

x = 1 0^{0.94} \cdot 0.05

Decimal

x = 0.43548 \dots

Solution steps

5.74 = 4.8 + lo g_{10} (\frac{x}{0.05})

Switch sides

4.8 + lo g_{10} (\frac{x}{0.05}) = 5.74

Move

4.8

to the right side

lo g_{10} (\frac{x}{0.05}) = 0.94

Apply log rules

\frac{x}{0.05} = 1 0^{0.94}

Multiply both sides by

0.05

\frac{x}{0.05} \cdot 0.05 = 1 0^{0.94} \cdot 0.05

Simplify

x = 1 0^{0.94} \cdot 0.05

Verify Solutions:

x = 1 0^{0.94} \cdot 0.05

True

The solution is

x = 1 0^{0.94} \cdot 0.05

3 \times lo g_{2} (x - 2) = 12

0.41667 = - 0.25 lo g_{e} (1 - c)

lo g_{10} (x) = x - 3

lo g_{x} (2) = - 2

lo g_{x} (2) = - 1

What is the answer to 5.74=4.8+log_{10}(x/(0.05)) ?
The answer to 5.74=4.8+log_{10}(x/(0.05)) is x=10^{0.94}*0.05
Solve for x: 5.74=4.8+log_{10}(x/(0.05))
The solution is x=10^{0.94}*0.05