Find the value of the Logarithmic Expression Why is log_61 equal to 0?

abrigairaic

abrigairaic

Open question

2022-08-13

Find the value of the Logarithmic Expression
Why is log 6 1 equal to 0?

Answer & Explanation

Alexia Mata

Alexia Mata

Beginner2022-08-14Added 15 answers

Remember that log a b = x is really just a x = b in disguise. Therefore, you have
6 x = 1
So basically, what values of x will make the answer 1? Well, it's gotta be 0
So from this you can deduce that any which looks like
log x 1
must have the answer zero or in other words,
log x 1 = 0
ghettoking6q

ghettoking6q

Beginner2022-08-15Added 8 answers

Because 6 0 = 1. Simple as that. In fact, log a 1 = 0 for any value of a > 0
The log function is the inverse function to the exponential function. Thus, the number x = log a b is the number that solves the equation a x = b
Apply this to your example: what is x = log 6 1? To what power must you put 6 to get 1? Well, you know that 6 0 = 1, right? this means that by definition, 0 = log 6 1

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