`log_10 (1000) = x`
To solve, express the 1000 in terms of 10.
`log_10 (10 * 10 * 10)=x`
`log_10 (10^3) =x`
To simplify the left side, apply the logarithm rule `log_b (a^m) = m*log_b(a)` .
`3* log_10 (10) = x`
Take note that when the base and argument of the logarithm are the same, the resulting value is 1 `(log_b (b) = 1)` .
`3 * 1 = x`
`3=x`
Therefore, the value of x is 3.
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