SOLUTION: What is the value of x in the equation log4(x-1)^3=9? A. x=27 B. x=64 C. x=65 D. x=81

Algebra.Com
Question 834659: What is the value of x in the equation log4(x-1)^3=9?
A. x=27
B. x=64
C. x=65
D. x=81

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
What is the value of x in the equation log4(x-1)^3=9?
A. x=27
B. x=64
C. x=65
D. x=81
***

4^9=(x-1)^3
raise both sides to the (1/3) power
4^3=x-1
x-1=64
x=65 (ans.C)

RELATED QUESTIONS

find the exact value log3 1/27+ (16) -3/4 and solve the equation log4 (x+5) + log4 (answered by stanbon)
Which function describes the data shown below in the table? x: -6, 0, 6, 12 y: 81, 27,... (answered by ilana)
In the equation x^2-y^2=8 if the value of y=-1, the value of X is A. -3 B. +3 C. +-3 (answered by josgarithmetic,MathTherapy)
If cube root of (12x + 28)= 4 what is the value of x^3 ? (A) -8 (B) 3 (C) 12 (D) 27 (answered by mananth)
Solve the equation: log4 30-log4(x-1)-log4(x+2)=log4... (answered by lwsshak3)
Solve for x in the following. A) 3^x=27 B) 16^x=64 C) 2=(1/32)^x D)... (answered by MathLover1)
For what value of a is x=3 a solution to the equation x+3=ax+9.? A. 1.5 B. 1 C. -1... (answered by algebrahouse.com)
Find a simplified value for x by inspection. Do not use a calculator. (a) log7 49 = (answered by lwsshak3)
What value completes the square for the expression? x^2 - 18x A. 9 B. -9 C. (answered by stanbon)