Step-by-step explanation:
step 1. what is the question? probably solve for x. okay.
step 2. 4^(2x) + 1 = 4
step 3. 4^(2x) = 3 subtract 1 from each side
step 4. ln4^(2x) = ln3 take on of each side
step 5. 2xln4 = ln3 definition of logs
step 6. 2x = ln3/ln4 divide both sides by ln4
step 7. x = ln3/2ln2^2 divide both side by 2 and replace 4 with 2^2
step 8. x = ln3/4ln2.
Step-by-step explanation:

Answer: 25/4
Step-by-step explanation:
2 / 4/5 = 2*5/4 = 25/4
To divide fractions, multiply by the reciprocal of the fraction (flip the numerator and denominator, basically)
<u>7x + 3 = 9x - 7</u>
Subtract 7x from each side: + 3 = 2x - 7
Add 7 to each side: 10 = 2x
Divide each side by 2 : <em>5 = x </em>