If Log 8 = 0.90, Find the Value of Each of the Following: Log4

If log 8 = 0.90, find the value of each of the following: log4

Sum

log 4
log 8
= log2³
= 3 log 2
= 0.90
⇒ log 2
= 0.90 / 3
= 0.3
∴ log 4
= log2²
= 2 log 2
= 2 x 0.30
= 0.60.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 7: Logarithms - Exercise 10.2

Chapter 7 Logarithms
Exercise 10.2 | Q 23.1

If x = (100)^a , y = (10000)^b and z = (10)^c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.

Given 2 log₁₀ x + 1 = log₁₀ 250, find :
(i) x
(ii) log₁₀ 2x

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log 18 + log 25 - log 30

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log 144 - log 72 + log 150 - log 50

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`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`

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Simplify: log a² + log a^-1