If Log 2 = 0.3010, Log 3 = 0.4771 and Log 5 = 0.6990, Find the Values Of: Log45 - Mathematics

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45

Sum

log45
= log (3² x 5)
= log 3² + log 5
= 2 log 3 + log 5
= (2 x 0.4771) + 0.6990
= 1.6532.

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 19.2

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

Express the following in terms of log 5 and/or log 2: log500

Express the following as a single logarithm:
log 18 + log 25 - log 30

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

Express the following as a single logarithm:

`(1)/(2)"log"25 - 2"log"3 + "log"36`

Simplify the following:

`3"log" (32)/(27) + 5 "log"(125)/(24) - 3"log" (625)/(243) + "log" (2)/(75)`

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If log 4 = 0.6020, find the value of each of the following: log8

Simplify: log a² + log a^-1

Find the value of:

`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`