Jackie R.

asked • 05/18/13# Help with exponential equations (algebra 2)

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 Answers By Expert Tutors

Nataliya D. answered • 05/18/13

Patient and effective tutor for your most difficult subject.

* 2.* 14

^{x}+ 1 = 36

14

^{x}= 35

log

_{14}35 = x

x ≈

**1.3572**

Priti S. answered • 05/18/13

Algebra 2 Knowlege & Expertise with 10+ years of Teaching Expreinece

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**

Jackie R.

Sorry I meant the second.

05/18/13

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Nataliya D.

Jackie, first equation is not exponential. Make sure you copied it correctly.

05/18/13