Convert to an exponential equation.
log 11 = 1.0414
A 101.0414 = 11
B 111.0414 = 10
C 1.041410 = 11
D 1011 = 1.0414
2 answers
10^1.0414 = 11
Using the definition of logarithms
y=loga(x) .......(1a) ≡ ay = x .............(1b)
Put x=11 in (1a), log(x) is understood to be base 10, so a=10, y=1.0414
[1a] 1.0414 = log10(11)
By the definition of logarithms, (1a) is equivalent to (1b), so substituting the same values,
[1b] 101.0414 = 11
You will find the above fit one of the answer choices on your screen or your book.
In the future, please use ^ to mean exponentiation, for example 2^(4x) to mean 24x.
y=loga(x) .......(1a) ≡ ay = x .............(1b)
Put x=11 in (1a), log(x) is understood to be base 10, so a=10, y=1.0414
[1a] 1.0414 = log10(11)
By the definition of logarithms, (1a) is equivalent to (1b), so substituting the same values,
[1b] 101.0414 = 11
You will find the above fit one of the answer choices on your screen or your book.
In the future, please use ^ to mean exponentiation, for example 2^(4x) to mean 24x.