Use properties of logarithms to find exactly value. 5^(log_5 6+log_5 7)

John Landry

John Landry

Answered question

2022-07-27

Use properties of logarithms to find exactly value.
5 log 5 6 + log 5 7

Answer & Explanation

escobamesmo

escobamesmo

Beginner2022-07-28Added 18 answers

Properties to use here:
A log A ( x ) = x
log ( a ) + log ( b ) = log ( a b )
5 log 5 6 + log 5 7 = 5 log 5 ( 6 7 ) = 5 log 5 ( 42 ) = 42
Karsyn Beltran

Karsyn Beltran

Beginner2022-07-29Added 5 answers

5 log 5 6 + log 5 7
5 log 5 42 [ log a + log b = log a b ]
42 [ a log a x = x ]
42 is the answer.

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