SOLUTION: Write the expression in a single/simplified logarithm. log9 49 - log9 7 + log9 5 2log8 6 - log8 4 4log8 3 - 2log8 2 log2 225

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Question 2023: Write the expression in a single/simplified logarithm.
log9 49 - log9 7 + log9 5
2log8 6 - log8 4
4log8 3 - 2log8 2
log2 225 - log2 5 + log2 3
5log37 37^9
Simplify.
log53 53^9
5log41 41^9
9log9 9^5
Thank you!
Answer by khwang(438) (Show Source):
You can put this solution on YOUR website!
1)log9 49 - log9 7 + log9 5
= log9 (49/7) + log9 5
= log9 7 + log9 5
= log9 35
2) 2log8 6 - log8 4
= log8 6^2 - log8 4
= log8 36 - log8 4
= log8 36/4
= log8 9

3) 4log8 3 - 2log8 2
= log8 3^4 - log8 2^2
= log8 81 - log8 4
= log8 81/4
= log8 20.25
4) log2 225 - log2 5 + log2 3
= log2 (225/5)+ log2 3
= log2 45+ log2 3
= log2 135
5) 5log37 37^9
= 5(9 log37 37)
= 5*9*1
= 45
You have to work hard.

SOLUTION: Write the expression in a single/simplified logarithm. log9 49 - log9 7 + log9 5 2log8 6 - log8 4 4log8 3 - 2log8 2 log2 225 - log2 5 + log2 3 5log37 37^9 Simplify.