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

Question

02-12-2021
Mathematics

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

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In △ABC, m∠A=15°, a=9, and b=12. Find c to the nearest tenth.

mimii75 mimii75 · Answer 1 · 2021-12-02T02:14:46+01:00

ANSWER: x = -0.082

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