Q2 of 124 Page 29

Obtain the equivalent logarithmic form of the following.
2⁴ = 16

Here it’s given that 2⁴ = 16,

The given equation is in the form of a^x = b.

log_ab is the logarithmic form of the exponential form a^x = b

In the equation 2⁴ = 16 (a = 2,b = 16 ,x = 4)

⇒ log₂16 = 4

Represent the following numbers in scientific notation.

(11000)³ (0.003)² ÷ (30000)

State whether each of the following statements is true or false.

(i) log₅125 = 3

(ii)

(iii) log₄(6 + 3) = log₄6 + log₄3

(v)

(vi) log_aM - N = log_aMlog_aN

Obtain the equivalent logarithmic form of the following.

3⁵ = 243

Obtain the equivalent logarithmic form of the following.

10^-1 = 0.1

Questions · 124

2. Scientific notations of real numbers and logarithms

1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10

Obtain the equivalent logarithmic form of the following.24 = 16