Question

1.
$25 \times 5 {}^{x} = 5 {}^{8} find \: x$
2.
$\frac{1}{49} \times 7 {}^{2x} = 7 {}^{8} find \: x$
3.
$x = (\frac{3}{2}) {}^{2} \times (\frac{2}{3}) {}^{-4} \: find \: x$
4.
$[ \{(\frac{1}{3}) {}^{ -3} - (\frac{1}{2} ) {}^{ -3}\} \div ( \frac{1}{5} ) {}^{ -2} ]$

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Answer 1

Step-by-step explanation:

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities. Wikipedia

Equation

Answer 2

1. 25×5^x = 5⁸

5²×5^x =5⁸

5^2+x=5⁸

comparing both sides for power of 5

2+x=8

x=8-2

x=6

2. 1/49× 7^2x = 7⁸

1/7² × 7^2x = 7⁸

7^-2 × 7^2x = 7⁸

7^ -2+2x = 7⁸

comparing both sides for power of 7

-2+2x=8

2x= 8+2

2x=10

x=5