Question
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
log 11 = 1.0414
A 101.0414 = 11
B 111.0414 = 10
C 1.041410 = 11
D 1011 = 1.0414
Answers
scott
10^1.0414 = 11
MathMate
Using the definition of logarithms
y=log<sub>a</sub>(x) .......(1a) ≡ a<sup>y</sup> = x .............(1b)
Put x=11 in (1a), log(x) is understood to be base 10, so a=10, y=1.0414
[1a] 1.0414 = log<sub>10</sub>(11)
By the definition of logarithms, (1a) is equivalent to (1b), so substituting the same values,
[1b] 10<sup>1.0414</sup> = 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 2<sup>4x</sup>.
y=log<sub>a</sub>(x) .......(1a) ≡ a<sup>y</sup> = x .............(1b)
Put x=11 in (1a), log(x) is understood to be base 10, so a=10, y=1.0414
[1a] 1.0414 = log<sub>10</sub>(11)
By the definition of logarithms, (1a) is equivalent to (1b), so substituting the same values,
[1b] 10<sup>1.0414</sup> = 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 2<sup>4x</sup>.