181k views
5 votes
Which value is equivalent to (1/3)^x =27^x+2

User HannaY
by
3.3k points

2 Answers

7 votes

Answer:

x~-0.59179865 or -3/2=x

Step-by-step explanation: I don't wanna type anymore.

User Aubree
by
3.4k points
3 votes

Answer:

3^-x= 3^ 3x + 6

Explanation:

match bases

remeber if a^b=a^c where a=a then b=c

remember

(x^m)^n=x^(mn)

1/(x^m)=x^-m

base of 3

(1/3)^x=(3^-1)^x=3^(-x)

27^(x+2)=(3^3)^(x+2)=3^(3x+6)

3^(-x)=3^(3x+6)

-x=3x+6

0=4x+6

-6=4x

-3/2=x

User GamerJosh
by
3.5k points