# If log 18 to the base 12=a and log 54 to the base 24=b,prove that ab+5(a-b)=1?

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Shwetank Mauria
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Sep 19, 2017

#### Answer:

Please see below.

#### Explanation:

As

i.e.

or

similarly as

i.e.

or

Comparing the two **........(A)**

and **........(B)**

Subtracting **(A)** from **(B)**, we get

and

hence

(Note that **(B)** gives

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seol #xi#
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Jul 11, 2017

#### Answer:

see explanation

#### Explanation:

Please check to make sure I've read the problem correctly. Logarithms may be written wrong...

#\log_12(18)=a# #\log_24(54)=b#

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