Question: a)Solve for x. log 4 (x+1)- log 4 x=3 b)Following the birth of achild, a parent wants to make an initial investment P 0 that

a)Solve for x.

log₄(x+1)-log₄x=3

b)Following the birth of achild, a parent wants to make an initial investment P₀ that will grow to $40,000 for thechild's education at age 18. Interest is compounded continuously at

6%. What should the initial investmentbe? Such an amount is called the present value of $40,000 due 18 years from now.

The present value is about $______.

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