What is the answer to 4.23=3.86+log_{10}(x) ?

The answer to 4.23=3.86+log_{10}(x) is x=10^{0.37}

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4.23=3.86+log_{10}(x)

4.23 = 3.86 + lo g_{10} (x)

x = 1 0^{0.37}

Decimal Notation

x = 2.34422 \dots

Solution steps

4.23 = 3.86 + lo g_{10} (x)

Switch sides

3.86 + lo g_{10} (x) = 4.23

Move

3.86

to the right side

lo g_{10} (x) = 0.37

Apply log rules

x = 1 0^{0.37}

Verify Solutions:

x = 1 0^{0.37}

True

The solution is

x = 1 0^{0.37}

lo g_{3} (x) = lo g_{10} (9) (2 x + 7)

lo g_{10} (x) = 0.87064

lo g_{3} (x - 2) + lo g_{3} (4 x - 7) = 1

ln (x - 8) + ln (x + 1) = 0

10 \cdot lo g_{10} (4 x) = 25

What is the answer to 4.23=3.86+log_{10}(x) ?
The answer to 4.23=3.86+log_{10}(x) is x=10^{0.37}
Solve for x: 4.23=3.86+log_{10}(x)
The solution is x=10^{0.37}