SOLUTION: (A) Solve:6^3n = 43^5n-4 a. 1.1202 b. -1.9005 c. -0.2800 d. 2.1418 (B) Solve 5^2x+1 >= 50 a. x >= 4.5000 b. x >= 0.7153 c. x >= 0 d. x >= 2.4307

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: (A) Solve:6^3n = 43^5n-4 a. 1.1202 b. -1.9005 c. -0.2800 d. 2.1418 (B) Solve 5^2x+1 >= 50 a. x >= 4.5000 b. x >= 0.7153 c. x >= 0 d. x >= 2.4307      Log On

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Question 330256: (A) Solve:6^3n = 43^5n-4
a. 1.1202
b. -1.9005
c. -0.2800
d. 2.1418
(B) Solve 5^2x+1 >= 50
a. x >= 4.5000
b. x >= 0.7153
c. x >= 0
d. x >= 2.4307
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
6%5E%283n%29+=+43%5E%285n-4%29
3n=log%286%2C%2843%5E%285n-4%29%29%29
3n=%285n-4%29%28log%286%2C%2843%29%29%29
3n=5n%28log%286%2C%2843%29%29%29-4%28log%286%2C%2843%29%29%29
3n-5n%28log%286%2C%2843%29%29%29=-4%28log%286%2C%2843%29%29%29
n%283-5%28log%286%2C%2843%29%29%29%29=-4%28log%286%2C%2843%29%29%29
n=-4log%286%2C%2843%29%29%2F%283-5%28log%286%2C%2843%29%29%29%29
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.
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log%286%2C%2843%29%29=log%28%2843%29%29%2Flog%28%286%29%29=2.0992
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.
.
n=-4%282.0992%29%2F%283-5%282.0992%29%29=-8.3996%2F-7.4958
highlight%28n=1.120%29
.
.
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2x%2B1%3E=log%285%2C%2850%29%29
2x%3E=-1%2Blog%285%2C%2850%29%29
x%3E=%281%2F2%29%28-1%2Blog%285%2C%2850%29%29%29
x%3E=%281%2F2%29%28-1%2Blog%28%2850%29%29%2Flog%28%285%29%29%29%29
x%3E=%281%2F2%29%28-1%2B2.4307%29
highlight%28x%3E=0.7153%29