4 ^(1+2x)=1024 how do I express each side as a power of the same base and then equate exponents?

I'll help a bit!

So, we need to have the same base on either side, like this:

Essentially, we need to find the factors of 1024:

So then, we can write it as:

(As there are 5 4's in the factorization)

So, let's solve!

First step, use the Equality of Bases Property:

It states that:

Then:

So, continuing on:

Hope this helps!

(hope this also answers your question)

P.S. Ask me if you have any more questions, and remember to wash your hands!

i can answer this question sweetie!

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500