log10^x=4?

Question

solve equation with symbolic reasoning

Answer 1

log10^x=4
Therefore x log10 = 4 (since log(a^n) = nloga)
log10 = 1 (assuming log means log (base 10))
Therefore x = 4

Otherwise x = 4/log10

Answer 2

If you mean (log10)^x=4
then
(log10)^x=4
taking natural log on both the sides, we get
xlog(log 10) = log 4
=>x = (log 4)/log(log 10) = 1.6622

If you mean log(10^x)=4
then
log(10^x)=4
=>x log10=4
=>x =4/log10 = 1.7372

Answer 3

log10^x=4
We must change the RHS in such a way that we can remove the log

=>log10^x=4log(base 10 )10........since log(base a)a=1
=>log10^x=log(base 10)10^4
=>bases are equal, so we can remove the log
=>10^x=10^4
=>x=4


Alternate:log(base 10)10=1
=>xlog10=x
=>x=4

Answer 4

log10^x=4
xlog10=4

log 10 = 1, so it will be
x.1=4
x=4

Answer 5

log 10^x = 4
exponentiate

so 10^x = 10^4

devide by 10^4

10^(x-4) = 1
x-4 = 0
x= 4