What is the solution of log(3x + 4) 4096 = 4?

Question

anonymous · Answer

4/3 would you like explanation

itsmichelle29 · Answer

Nahhhh thanks

campbell_st · Answer

well raise both sides as powers of the base

remember the log law for base 


$$\log_{a} (a^b) = b$$

then 4096 = (3x + 4)^4

now you can solve for x

itsmichelle29 · Answer

thanks @_greatmath7 @campbell_st

anonymous · Answer

write the equation (exponential) and then look...
log(3x+4)4096=4⇒(3x+4)4=4096
8^4 = 4096 => 3x+4 = 8 (base must be positive)
i got the answer 4/3?

anonymous · Answer

yeah

itsmichelle29 · Answer

@campbell_st i would give u a medal but i cant to two people

anonymous · Answer

yw :)

campbell_st · Answer

@_greatmath7  one of the aims of open study is to help understanding, and try to avoid giving answers.

anonymous · Answer

oh I am sorry but I did also show how to solve so, if itsmichelle29 followed my steps she would have received the same answer

anonymous · Answer

@campbell_st