Exercise algebra.manipulation.exponential.equation

Description
solve exponential equation algebraically

Derivation

5*2^(x-1) == 20*sqrt 2

⇒ algebra.equations.coverup.times

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

⇒ algebra.manipulation.exponents.factor-as-power

2^(x-1) == 2^2*sqrt 2

⇒ algebra.manipulation.exponents.write-as-power

2^(x-1) == 2^2*2^(1/2)

⇒ algebra.manipulation.exponents.add-exponents

2^(x-1) == 2^(5/2)

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

x-1 == 5/2

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

x == 7/2