What is the answer to log_{10}(x)=5-x ?

The answer to log_{10}(x)=5-x is x=(\W_{0}(100000ln(10)))/(ln(10))

Solve for x: log_{10}(x)=5-x

The solution is x=(\W_{0}(100000ln(10)))/(ln(10))

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lo g_{10} (x) = 5 - x

x = \frac{W _{0} ( 100000 ln ( 10 ) )}{ln ( 10 )}

Decimal Notation

x = 4.36046 \dots

Solution steps

lo g_{10} (x) = 5 - x

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

1 0^{l o g_{10} (x)} = 1 0^{5 - x}

Simplify

1 0^{l o g_{10} (x)} : x

x = 1 0^{5 - x}

Solve

x = 1 0^{5 - x} : x = \frac{W _{0} ( 100000 ln ( 10 ) )}{ln ( 10 )}

x = \frac{W _{0} ( 100000 ln ( 10 ) )}{ln ( 10 )}

Verify Solutions:

x = \frac{W _{0} ( 100000 ln ( 10 ) )}{ln ( 10 )}

True

The solution is

x = \frac{W _{0} ( 100000 ln ( 10 ) )}{ln ( 10 )}

lo g_{6} (7 x) + 6 = 8

lo g_{8} (n) = 3

lo g_{b} (x) = 6.92

3 ln (x + 2) = 2

x, 5 = 4.75 + lo g_{10} (x)

What is the answer to log_{10}(x)=5-x ?
The answer to log_{10}(x)=5-x is x=(\W_{0}(100000ln(10)))/(ln(10))
Solve for x: log_{10}(x)=5-x
The solution is x=(\W_{0}(100000ln(10)))/(ln(10))