Prove the given exponential identity

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1. Prove the following exponential identity

3 (9x+2) = 32x+5

2. Prove the following exponential identity

16x-2y = 24x/44y

3. Prove the following logarithmic identity

log1/2log2 (21og2 4) = - 1

4. Prove the following logarithmic identity

log2 x/y + 4log2 4 √(y/x) = 0

5. Solve the exponential equation

8x+1 · 4x- 2 =16x

6. Solve the exponential equation for x and for y

3x+1 · 2y-2 = 36

7. Solve the logarithmic equation

log2 log2 4x-2 = 1

8. Solve the exponential inequality.

27(32x+1) > 3x+5 + 33

9. Solve logarithmic inequality.

3log x < 2log (1/x) + 1

Reference no: EM131043460

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