Question

solve for x , x^1+logxbase10 = 10x

Answer 1

x^{ 1 + log(x base 10)} = 10x

take both sides log wih base 10
log{x base 10} { 1 + log(x base 10)} = log{10x base 10}

log{x base 10} { 1 + log(x base 10)} = 1 + log(x base 10)

Let, log{ x base 10} = P

P( 1 + P) = (1 + P)

(P -1) (1 + P) = 0

P = 1 , -1
log{x base 10} = 1 and -1

x = 10 and 1/10