Express this equation in logarithmic form. y = 10^x X=

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asked Mar 16, 2020 206k views

1 Answer

Martin Beckett · Answer 1 · 2020-03-20T02:09:46+0000

For this case we must find the value of the variable "x" of the following equation:

y = 10^(x)

We rewrite the equation as:

$10 ^ {x} = y$

We take the logarithmic base 10 from both sides of the equation to remove the variable from the exponent.

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

The logarithmic base 10 of 10 is 1.

$x * 1 = log (y)\\x = log (y)$

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