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Fundamental Laws of Logarithms

If log303=c, ...

Question

If $l o g_{30} 3 = c, l o g_{30} 5$ then the value of $l o g_{30} 8$

A

2(1-c-d)

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B

3(1+c+d)

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C

3(1+c-d)

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D

3(1-c-d)

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Solution

The correct option is D
3(1-c-d)

$l o g_{30} 8 = 3 l o g_{30} 2 = 3 l o g_{30} (30 / 15) = 3 (l o g_{30} 30 - l o g_{30} 3 - l o g_{30} 5 = 3 (1 - c - d)$

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Similar questions

{log}_{30} 3 = a,

{log}_{30} 5 = b

, then value of

{log}_{30} 8

{log}_{30} 3 = a

{log}_{30} 5 = b

, then the value of

{log}_{30} 75

If $l o g_{30} 3 = c, l o g_{30} 5$ then the value of $l o g_{30} 8$

x = {log}_{30} 3

y = {log}_{30} 5

, then identify the option(s) which can be represented in terms of

x

y

.

l o g_{10} 5 = 0.70

l o g_{10} 3 = 0.48

l o g_{30} 8

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