How do you solve 2log_3(x+4) - log_3 243 = 2?

1 Answer
Gió
Jan 30, 2017

I got: x=3^(7/2)-4=42.7654

Explanation:

We use the definition of log to get:
log_3(243)=5
so we write:
2log_3(x+4)-5=2
2log_3(x+4)=5+2
2log_3(x+4)=7
log_3(x+4)=7/2
x+4=3^(7/2)
x=3^(7/2)-4=42.7654

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