Both need to be rounded to the nearest ten thousandths.
1. 4x=243
2. 14^x+1=36?I have do this problem too many times but only answers I have gotten is 1.347 or 0.358
2. 14x + 1 = 36
14x = 35
log14 35 = x
x ≈ 1.3572
Help with exponential equations (algebra 2)
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2 Answers
1. 4^x = 243 apply log on both side
log 4^x = log 243 Now use power rule and bring x in the front
x log 4 = log 243 solve for x
x = log 243 / log 4 Now enter it in the calculator
x = 3.96241 ANSWER
2. 14^(X+1) = 36 apply logs on both side
log 14^(X+1) = log 36 now use power rule and bring the x+1 in the front
(x+1) log 14 = log 36 divide over log14
x+1 = log 36/ log 14 now subtract 1 on the other side
x = (log 36/log 14) -1 use calculator
x = .35787 ANSWER
Comments
Sorry I meant the second.
Comments
Jackie, first equation is not exponential. Make sure you copied it correctly.
Do you know how to round it to the nearest ten thousandths?
3 . 9 6 2 4 1 ˜ 3.9624 (round down)
?
ten thousandth
next digit is 1 and is less than 5
0 . 3 5 7 8 7 ˜ 0.3579 (round up)
?
ten thousandth
next digit is 7 and is greater than or equal 5
3.96241 ˜ 3.9624 (round down)
3 - ones
.
9 - tenth
6 - hundredth
2 - thousandth
4 - ten thousandths
1 - less than 5
0.35787 ˜ 0.3579 (round up)
0
.
3 - tenth
5 - hundredth
7 - thousandth
8 - ten thousandths
7 - greater than 5