How do you solve $600 = 10^{x}$ $600=10^x$ ?

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How do you solve $600 = 10^{x}$ $600=10^x$ ?

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Answer 1 · 2015-11-21T17:20:07

$x = log (600) \approx 2.77815$ $x = log(600) ~~ 2.77815$

Explanation:

$x = x log (10)$ $x = x log(10)$

$= log (10^{x})$ $= log(10^x)$

$= log (600)$ $= log(600)$

$= log (100) + log (6)$ $= log(100) + log(6)$

$= log (10^{2}) + log (6)$ $= log(10^2) + log(6)$

$= 2 + log (6)$ $= 2+log(6)$

$= 2 + log (2) + log (3)$ $= 2+log(2)+log(3)$

$\approx 2 + 0.30103 + 0.47712 = 2.77815$ $~~ 2+0.30103+0.47712 = 2.77815$

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How do you solve $600 = 10^{x}$ $600=10^x$ ?

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