Will mark brainliest solve for x 32^(x +4) = 64^(2x–1)

26/7 =x

Step-by-step explanation:

32^(x +4) = 64^(2x–1)

Rewrite each as a power of 2

32 = 2^5   and 64 = 2^6

2^5^(x +4) = 2^6^(2x–1)

We know a^b^c = a^(b*c)

2^(5*(x +4)) = 2^(6*(2x–1))

The bases are the same so the exponents are the same

5*(x +4) = 6*(2x–1)

Distribute

5x +20 = 12x -6

Subtract 5x

20 = 7x -6

Add 6 to each side

26 = 7x

Divide by 7

26/7 =x

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,