−7⋅30.25x=−10 solve exponential equations using logarithms: base-2 and other bases

x = 0.1046

Step-by-step explanation:

I have chosen to interpret  your  −7⋅30.25x=−10  as being:

-7(30.25)^x = -10 and have the goal of solving this for x.  Note that this problem, interpreted in this way, does not involve base 2.

Starting with −7⋅30.25^x=−10, divide both sides by -7.  The result is:

30.25^x = 10/7

Taking the log (to the base 10) of both sides, we get:

x log 30.25 = log 10 - log 7 = 1 - log 7

                 1 - log 7        0.1549

Then x = = = 0.1046

                log 30.25       1.4807

x = 0.1046

If this is not the answer you expected, please double check to ensure that you have copied down the problem correctly.

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

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