resolver las siguientes ecuaciones logaritmicas
1) log x=3log2
2)logx-log3=2
3) 5logx-log32=logx/2
4) 2logx=logx/2-3/5
5) log10=5-3logx
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1) log x = 3log2
= log2^3
x = 2^3 x = 8
2)logx - log3 = 2
log x/3 = 2
x/3 = 10^2
x = 3.10^2 x = 3.10^2
3) 5logx - log32 = logx/2
log x^5 - log32 = log x/2
log (x^5)/32 = log x/2
(x^5)/32 = x/2
2.(x^5) = 32.x
x^5 = (32/2)x
x^5/x = 16
x^4 = 16
x^4 = 2^4 x = 2
4) 2logx = logx/2 - 3/5
log x^2 - log x/2 = - /3/5
log x^2 - (log x - log 2) = - 3/5
log x^2 - log x + log 2 = - 3/5
log x^2/x = - 3/5 - log 2
logx = - (3/5 + log 2)
x = 10^-(3/5 + log 2)
5) log10 = 5 - 3logx
1 = 5 - log x^3
log x^3 = 5 - 1
log x^3 = 4
x^3 = 10^4
x = 10^4/3 x = 10.10^1/3
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