Chia Jun Er, Ashley's answer to Gabriel's Kenya question.

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Chia Jun Er, Ashley
Chia Jun Er, Ashley's answer
13 answers (Tutor Details)
1st
Use basic log properties

When the log has the same base and argument, it is equal to 1
E.g. lg10 = 1 (lg has a base of 10)
Hence, log 4 (base 4) = 1 --> Applied in step 2: Change 1 to log 4 (base 4)

When the log has the same base (i.e. 4),
1. log a + log b = log (axb) --> Applied in step 3: 4 x (3x-2) = 12x-8
2. log a - log b = log (a/b) --> Applied in step 2: 9 / (3x+2)

Step 4 to 5 is simple cross multiplication

Step 5 onwards solve for x using algebra