Please check the following logarithms and let me know if they are correct. If they are not, please point out the mistake I am making and what to fix
You will be thanked
1. 4^x = 64
ln(4^x) = ln(24)
xln(4) = ln(24)
xln(4)/ln(4) = ln(24)/ln(4)
x = ln(24)/ln(4)
2. log4(64) = 3
3. y = e^3
e^3 = y
e = 3SQRT(y)
4. log(x) + log(x) = 2
2(log(x)) + 2(-1) = 0
2(log(x)-1) = 0
(log(x)-1) = 0
log(x)-1 = 0
log(x) = 1
10log(x) = 10
x = 10
5. 2log(x) - log(x^2) + log(2/x) + log(x)
log(x^2) - log(x^2) + log(2/x) + log(x)
log(x^2/x^2) + log(2/x) + log(x)
log((x^2/x^2)(2/x))+log(x)
log(((x^2/x^2)(2/x))(x))
log(x((x^2/x^2)(2/x)))
log(x((x^2/x^2) * 2/x))
log(x((1)*2/x))
log(x(2(1)/x))
log(x(2*1/x))
log(x(2/x))
log((1 * 2))
log((2))
log(2)