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

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

Express the following in terms of log 2 and log 3: log 54

Express the following in terms of log 2 and log 3: log12⁸

Express the following in terms of log 5 and/or log 2: log20

Express the following in terms of log 5 and/or log 2: log80

Express the following in terms of log 5 and/or log 2: log250

Write the logarithmic equation for:

F = `"G"("m"_1"m"_2)/"d"^2`

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

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

Find the value of:

`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`