find the value of log5 base 5 +log 6 base 6 log +7 base 7+ log 1 base 10
Answers
Answer:
Suppose we wanted to find the value of the expression \log_2(50)log
2
(50)log, start base, 2, end base, left parenthesis, 50, right parenthesis. Since 505050 is not a rational power of 222, it is difficult to evaluate this without a calculator.
However, most calculators only directly calculate logarithms in base-101010 and base-eee. So in order to find the value of \log_2(50)log
2
(50)log, start base, 2, end base, left parenthesis, 50, right parenthesis, we must change the base of the logarithm first.
The change of base rule
We can change the base of any logarithm by using the following rule:
Notes:
When using this property, you can choose to change the logarithm to any base \greenE xxstart color #0d923f, x, end color #0d923f.
As always, the arguments of the logarithms must be positive and the bases of the logarithms must be positive and not equal to 111 in order for this property to hold!
Step-by-step explanation:
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