Question

the logarithms of any number to itself as base is???? (a) 1 (b) 0 (c) -1 (d) 10​

Answer 1

Step-by-step explanation:

the logrithm of any number to itsel as base is

Answer 2

Answer:

(a) 1

Step-by-step explanation:

Concept= Logarithm

Given= Log of a number

To Find= Same Base of log value

Explanation=

Logarithm is an alternative way of writing exponents.

Logarithm is just opposite function of exponential function.

Example: 10²=100 and ㏒₁₀100 = 10

In logarithm we can express aⁿ= x as ㏒ₐx=n

Therefore ㏒ₐa =1

So now if replace a by any number the value will be same.

Example: ㏒₂2=1, ㏒₁₀ 10= 1

So we get to know that if the same is same as the number the resulting value is always equal to 1.

Therefore option (a) 1  is correct.

The rest options are not correct because with same base value cannot be 0 and there is no negative value in logarithms.

Value 10 will not come with the same base.

Therefore option (a) is correct.

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