The correct answer the last equation D!!
Answer: uh
Step-by-step explanation:
Recognize the differnce of 2 perfect sqares
recall that a²-b²=(a-b)(a+b)
so
169x²-64=
(13x)²-(8)²=
(13x-8)(13x+8)
-2log_5 7x = log_5 2
log_5[1/(7x)^2] = log_5 2
log_5(1/49x^2) = log_5 2
log_5(1 - 49x^2) = log_5 2
1 - 49x^2 = 2
You finish.
I can only assume that you meant, "Solve for x:"
Apply the exponent 3/2 to both sides of this equation. The result will be
3/2
343 = x/6.
Multiplying both sides by 6 isolates x:
3/2
6*343 = x Since 7^3 = 343, the expression for x
can be rewritten as
3/2
6*(7^3) = x which can be further simplified, as follows:
x = 6^(3/2)*7^(9/2), or:
x = 6^(3/2)*7^(8/2)*√7, or
x = 6^(3/2)*7^4*√7
