solve for x answer is a whole number 2015x201420152002014201

solve for x

answer is a whole number

2015^x+2014*2015^200+2014*2015^1999=2015^2001

2015^x + 2014*2015²⁰⁰ = 2015²⁰⁰¹ - 2014*2015¹⁹⁹⁹

2015^x + 2014*2015²⁰⁰ = 2015¹⁹⁹⁹(2015² - 2014)

2015²⁰⁰ (2015^x-200 + 2014) = 2015¹⁹⁹⁹ ( 4058211)

(2015^x-200 + 2014) = 2015¹⁹⁹⁹ ( 4058211)/ 2015²⁰⁰

(2015^x-200 + 2014) = 2015¹⁷⁹⁹ ( 4058211)

2015^x-200 = 2015¹⁷⁹⁹ ( 4058211) - 2014

(x-200) log 2015 = 1799 log 2015 + log 4058211 - log2014

x-200 = 1799 + log (4058211-2015) - log(2014 - 2015)

x = 1999 + log(4056196) - log(-1)

x = 1999 + 7 = 2006