What is the answer to solvefor x,3.5=3.75+log_{10}(x) ?

The answer to solvefor x,3.5=3.75+log_{10}(x) is x= 1/(10^{0.25)}

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solvefor x,3.5=3.75+log_{10}(x)

solve for

x, 3.5 = 3.75 + lo g_{10} (x)

x = \frac{1}{1 0 ^{0.25}}

Decimal

x = 0.56234 \dots

Solution steps

3.5 = 3.75 + lo g_{10} (x)

Switch sides

3.75 + lo g_{10} (x) = 3.5

Move

3.75

to the right side

lo g_{10} (x) = - 0.25

Apply log rules

x = \frac{1}{1 0 ^{0.25}}

Verify Solutions:

x = \frac{1}{1 0 ^{0.25}}

True

The solution is

x = \frac{1}{1 0 ^{0.25}}

lo g_{\frac{1}{3}} (x) = \frac{1}{27}

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

lo g_{10} (x) + lo g_{10} (x + 5) = 1

lo g_{10} (x) + lo g_{10} (x + 5) = 6

lo g_{3} (x) = 8

What is the answer to solvefor x,3.5=3.75+log_{10}(x) ?
The answer to solvefor x,3.5=3.75+log_{10}(x) is x= 1/(10^{0.25)}