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

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

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* 2.* 14

14

log

x ≈

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**

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

41 ˜ 3.9624 ()round down?

ten thousandth

next digit is 1 and is

lessthan 50 . 3 5 7

87 ˜ 0.3579 ()round up?

ten thousandth

next digit is 7 and is

greater than or equal53.96241 ˜ 3.9624 (

round down)3 - ones

.

9 - tenth

6 - hundredth

2 - thousandth

4- ten thousandths1-less than 50.35787 ˜ 0.3579 (

)round up0

.

3 - tenth

5 - hundredth

7 - thousandth

8- ten thousandths7-greater than 5