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9 votes
9 votes
Use logarithms to find the exact solution for 7(17^−9)−7=49.

User Contradictioned
by
2.8k points

1 Answer

13 votes
13 votes
ANSWER: x = -0.082


Step-by-step explanation:

1. Apply logarithm to both sides of the
equation. If one of the terms has base 10,
use common logarithm, otherwise, use
natural logarithm

2. Use the different properties of logarithms
to solve for the variable.

17
-92 _ 7 = 49
7.17-92 = 56
17-92 = 8
10g17(8)
-92
2
log, 7(8)
-9
log(8)
log(17)
-9
I=
-0.082
2 of 3
Add both sides by 7
Divide both sides by 7
Convert to logarithm
Divide both sides by - 9
User Laurence Fass
by
3.0k points
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