What is the answer to 5.033=4.874+log_{10}(x) ?

The answer to 5.033=4.874+log_{10}(x) is x=10^{0.159}

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5.033=4.874+log_{10}(x)

5.033 = 4.874 + lo g_{10} (x)

x = 1 0^{0.159}

Decimal Notation

x = 1.44211 \dots

Solution steps

5.033 = 4.874 + lo g_{10} (x)

Switch sides

4.874 + lo g_{10} (x) = 5.033

Move

4.874

to the right side

lo g_{10} (x) = 0.159

Apply log rules

x = 1 0^{0.159}

Verify Solutions:

x = 1 0^{0.159}

True

The solution is

x = 1 0^{0.159}

lo g_{10} (5 x^{2} + 13 x - 5) = 0

4 lo g_{3} (- 5 x) = 8

lo g_{10} (x) = 0.41

lo g_{10} (x) = 0.34

lo g_{10} (x) = 0.33

What is the answer to 5.033=4.874+log_{10}(x) ?
The answer to 5.033=4.874+log_{10}(x) is x=10^{0.159}
Solve for x: 5.033=4.874+log_{10}(x)
The solution is x=10^{0.159}