ok now for the first question that i ask was [math] 3^{x+1} = 6 [/math]
So here the calculation...Repair it if im wrong or i miss something..
[math] 3^{x+1} = 6 [/math]
[math] log_3 6 = x+1 [/math]
[math] log_3 6 = x + log_3 3 [/math]
[math] log_3 6 - log_3 3 = x [/math]
[math] log_3 \frac{6}{3} = x [/math]
[math] log_3 2 = x [/math]
[math] \frac{log 2}{log 3} = x [/math]
so using a calculator...
i got [math] x \approx 0.622401231 [/math]
Am i correct?
For the second question...[math] (2^2)^x = (2^5)^{-1} [/math]
so having the base 2 crossed out from the LHS and the RHS it becomes..
[math] 2x = -5 [/math]
[math] x = \frac{-5}{2} [/math]
which also meant
[math] x = \frac{-5}{2} [/math]
[math]x = -2.5 [/math]
I did it correctly this time right?
Thanks timo, i will try to ask my teacher again about that question...
p/s..my teacher is a women..lol..