Solving a logarithmic expression without a calculator How do I find the value of this logarithmic expression without using a calculator? I'm trying to relearn algebra, but this problem has me scratching my head, and my Google tutorial searches are failing me. 2^(log_2 10)

Alisa Taylor

Alisa Taylor

Answered question

2022-10-29

Solving a logarithmic expression without a calculator
How do I find the value of this logarithmic expression without using a calculator? I'm trying to relearn algebra, but this problem has me scratching my head, and my Google tutorial searches are failing me.
2 log 2 10

Answer & Explanation

megagoalai

megagoalai

Beginner2022-10-30Added 22 answers

If the base of the logarithm is 10:
Using the identity log a a = 1 we have the following:
2 log 10 10 = 2
If the base of the logarithm is 2:
Using the identity a log a x = x we have the following:
2 log 2 10 = 10
Sonia Elliott

Sonia Elliott

Beginner2022-10-31Added 4 answers

If you meant 2 log 2 10 , then the answer is simply 10:
log 2 10 means, a value x such that 2 x = 10
So if you take this x and calculate 2 x , then you will obviously get 10

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