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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
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
Date Posted:
1 year ago