What is log_{10}(1/(10^{3456)}) ?

The solution to log_{10}(1/(10^{3456)}) is -3456

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simplify log_{10}(1/(10^{3456)})

simplify

lo g_{10} (\frac{1}{1 0 ^{3456}})

- 3456

Solution steps

lo g_{10} (\frac{1}{1 0 ^{3456}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{1}{1 0 ^{3456}}) = lo g_{10} (1) - lo g_{10} (1 0^{3456})

= lo g_{10} (1) - lo g_{10} (1 0^{3456})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (1 0^{3456}) = 3456 lo g_{10} (10)

= lo g_{10} (1) - 3456 lo g_{10} (10)

lo g_{10} (1) = 0

3456 lo g_{10} (10) = 3456

= 0 - 3456

Simplify

= - 3456

ln (\frac{3}{16})

\frac{1}{4} lo g_{10} (0.485) + \frac{1}{3} lo g_{10} (0.36)

ln (\frac{2 x}{y ^{4}})

ln (2) + ln (x + 1) - \frac{ln ( 4 x + 7 )}{3}

lo g_{6} (\frac{36 - 4}{21 6 ^{3}})

What is log_{10}(1/(10^{3456)}) ?
The solution to log_{10}(1/(10^{3456)}) is -3456