Determine the value of the following.22 + log23

The Logarithmic form of 22 + log23Using property of logarithmic, am + n = am × an and alogax = x= 22 + log23= 22 × 2log23= 4 × 3= 12

Q1 of 54 Page 22

Determine the value of the following.
2^{2 + log}₂³

The Logarithmic form of 2^{2 + log}₂³

Using property of logarithmic, a^{m + n} = a^m × aⁿ and a^log_a^x = x

= 2^{2 + log}₂³

= 2² × 2^log₂³

= 4 × 3

= 12

Determine the value of the following.

log₁₀0.01

Determine the value of the following.

Write the following expressions as log N and find their values.

(i) log2 + log5

(ii) log₂16 – log₂2

(iii) 3 log₆₄ 4

(iv) 2 log3 – 3 log 2

(v) log 10 + 2 log 3 – log 2

Evaluate each of the following in terms of x and y, if it is given x = log₂3 and y = log₂5

(i) log₂ 15 (ii) log₂7.5

(iii) log₂60 (iv) log₂6750

Questions · 54

1. Real Numbers

1 1 1 2 3 4 5 1 2 3 4 5 6 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 4 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 9