(a) log5(25)

The logarithm logb(a) is the exponent to which we have to raise the base b to get the number a. In this case, we want to find the exponent to which we have to raise 5 to get 25.

Since 5^2 = 25, the exponent is 2.

So, log5(25) = 2.

(b) log2(18)

This is asking for the exponent to which we have to raise 2 to get 18.

Since 2^4 = 16 and 2^5 = 32, the value of log2(18) is between 4 and 5.

However, the exact value of log2(18) cannot be expressed as a simple number. It is a decimal number that can be approximated but not exactly calculated without a calculator.

So, log2(18) is a number between 4 and 5.

Question

(a) log5(25)

The logarithm logb(a) is the exponent to which we have to raise the base b to get the number a. In this case, we want to find the exponent to which we have to raise 5 to get 25.

Since 5^2 = 25, the exponent is 2.

So, log5(25) = 2.

(b) log2(18)

This is asking for the exponent to which we have to raise 2 to get 18.

Since 2^4 = 16 and 2^5 = 32, the value of log2(18) is between 4 and 5.

However, the exact value of log2(18) cannot be expressed as a simple number. It is a decimal number that can be approximated but not exactly calculated without a calculator.

So, log2(18) is a number between 4 and 5.

Knowee AI · Accepted Answer

(a) log5(25)

The logarithm logb(a) is the exponent to which we have to raise the base b to get the number a. In this case, we want to find the exponent to which we have to raise 5 to get 25.

Since 5^2 = 25, the exponent is 2.

So, log5(25) = 2.

(b) log2(18)

This is asking for the exponent to which we have to raise 2 to get 18.

Since 2^4 = 16 and 2^5 = 32, the value of log2(18) is between 4 and 5.

However, the exact value of log2(18) cannot be expressed as a simple number. It is a decimal number that can be approximated but not exactly calculated without a calculator.

So, log2(18) is a number between 4 and 5.

Find the exact value of each expression.(a)log5(25)(b)log218

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