What is the answer to 0.172=2-log_{10}(x) ?

The answer to 0.172=2-log_{10}(x) is x=10^{1.828}

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0.172=2-log_{10}(x)

0.172 = 2 - lo g_{10} (x)

x = 1 0^{1.828}

Decimal Notation

x = 67.29766 \dots

Solution steps

0.172 = 2 - lo g_{10} (x)

Move

lo g_{10} (x)

to the left side

0.172 + lo g_{10} (x) = 2

Move

0.172

to the right side

lo g_{10} (x) = 1.828

Apply log rules

x = 1 0^{1.828}

Verify Solutions:

x = 1 0^{1.828}

True

The solution is

x = 1 0^{1.828}

3 lo g_{3} (x - 1) = 3

x, lo g_{s} (x) = 4

x ln (x - 4) = 0

lo g_{8} (x + 5) - lo g_{8} (x - 1) = 1

ln (5 x - 4) = 3

What is the answer to 0.172=2-log_{10}(x) ?
The answer to 0.172=2-log_{10}(x) is x=10^{1.828}
Solve for x: 0.172=2-log_{10}(x)
The solution is x=10^{1.828}