What is the answer to 1.5=-log_{10}(T) ?

The answer to 1.5=-log_{10}(T) is T= 1/(10^{1.5)}

Solve for T: 1.5=-log_{10}(T)

The solution is T= 1/(10^{1.5)}

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1.5 = - lo g_{10} (T)

T = \frac{1}{1 0 ^{1.5}}

Decimal Notation

T = 0.03162 \dots

Solution steps

1.5 = - lo g_{10} (T)

Move

lo g_{10} (T)

to the left side

1.5 + lo g_{10} (T) = 0

Move

1.5

to the right side

lo g_{10} (T) = - 1.5

Apply log rules

T = \frac{1}{1 0 ^{1.5}}

Verify Solutions:

T = \frac{1}{1 0 ^{1.5}}

True

The solution is

T = \frac{1}{1 0 ^{1.5}}

lo g_{10} (x) = 8.935, x

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

lo g_{x} (42) = 10

\frac{9}{2} lo g_{5} (x) = - 8

lo g_{10} (n) = 1 0^{9}

What is the answer to 1.5=-log_{10}(T) ?
The answer to 1.5=-log_{10}(T) is T= 1/(10^{1.5)}
Solve for T: 1.5=-log_{10}(T)
The solution is T= 1/(10^{1.5)}