Exercise algebra.manipulation.exponential.equation

Description
solve exponential equation algebraically

Derivation

(1/5)^(2*x+1) == 5^(x-4)

⇒ algebra.manipulation.exponents.reciprocal

(5^(-1))^(2*x+1) == 5^(x-4)

⇒ algebra.manipulation.exponents.mul-exponents

5^(-2*x-1) == 5^(x-4)

⇒ algebra.manipulation.exponents.equation.same-base

-2*x-1 == x-4

⇒ algebra.equations.linear.var-left, term=1*x

-3*x-1 == -4

⇒ algebra.equations.coverup.onevar.minus-left

-3*x == -3

⇒ algebra.equations.coverup.negate

3*x == 3

⇒ algebra.equations.coverup.times

x == 1