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nekit [7.7K]
3 years ago
11

14. solve log 3x – log 13 = 2

Mathematics
1 answer:
Rudiy273 years ago
5 0
Log3x - log13 = 2

This is to base 10, because the base was not specified.

log A - log B = log(A/B)       law of logarithm 

log(3x/13) = 2

By law of logarithm, conversion from logarithm to indices

(3x/13) = 10²                 

3x/13 = 100

3x = 100*13

x = 1300/3

x = 1300/3 =  433    1/3
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