Find the value of x when 2x = 64
2 answers:
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Yee
(apologies in advance for foematring. I'm on mobile)
log rules
if no base is stared assume base 10
log_a(b)=c means a^c=b
log(a)+log(b)=log(ab)
if a^b=c^b and b=b then a=c
so
log(2x)+log(x)=2
log_10(2x^2)=2
10^2=2x^2
100=2x^
50=x^2
(apologies in advance for foematring. I'm on mobile)
log rules
if no base is stared assume base 10
log_a(b)=c means a^c=b
log(a)+log(b)=log(ab)
if a^b=c^b and b=b then a=c
so
log(2x)+log(x)=2
log_10(2x^2)=2
10^2=2x^2
100=2x^
50=x^2