Given that log y= log(10xn), make n the subject
NOTE: n is the power
I just used the fundamental rules of logarithm.
If you are studying logs, then you must know those.
log y= log(10xn)
you claim n is the power.
Did you mean n is the exponent?
Did mean:
log y= log(10x^n) ?
in that case, "antilog" both sides
y = 10x^n
x^n = y/10
log both sides
log x^n = log(y/10)
n logx = logy - log10
n = (logy - 1)/logx
To make n the subject of the equation, we need to isolate n on one side of the equation.
We start by applying the logarithmic property that states log(a^b) = b * log(a). Using this property, we can rewrite the equation as:
log y = n * log 10
Since log 10 is a constant, we can simplify further:
log y = n * 1
log y = n
Therefore, n is the subject of the equation.