Help with exponential equations (algebra 2)

Question

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

 

Answer 1

2. 14^x + 1 = 36
14^x = 35

log₁₄ 35 = x
x ≈ 1.3572

Answer 2

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