How do I find for x with the given equation?

Question

${log}_{10} (x + 2) + {log}_{10} (3) = {log}_{10} (12)$ $log_10(x+2)+log_10(3)=log_10(12)$

I am not sure if my math input is correct but I hope you understand

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Answer 1 · 2018-04-04T13:50:11

$x = 2$ $x=2$

${log}_{10} (x + 2) + {log}_{10} (3) = {log}_{10} (12)$ $log_10(x+2)+log_10(3)=log_10(12)$

${log}_{10} (3) (x + 2) = {log}_{10} (12)$ $log_10(3)(x+2)=log_10(12)$

$3 (x + 2) = 12$ $3(x+2)=12$

$x + 2 = 4$ $x+2=4$

$x = 2$ $x=2$