Exercise algebra.manipulation.exponential.equation

Description
solve exponential equation algebraically

Derivation

6*sqrt 3 == 2*9^(1-2*x)

⇒ algebra.equations.coverup.times

3*sqrt 3 == 9^(1-2*x)

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

3*sqrt 3 == (3^2)^(1-2*x)

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

3*3^(1/2) == (3^2)^(1-2*x)

⇒ algebra.manipulation.exponents.mul-exponents

3*3^(1/2) == 3^(2*(1-2*x))

⇒ algebra.manipulation.exponents.simple-add-exponents

3^(3/2) == 3^(2*(1-2*x))

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

3/2 == 2*(1-2*x)

⇒ algebra.equations.linear.distr-times

3/2 == 2-4*x

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

1/2 == 4*x

⇒ algebra.equations.coverup.times

1/8 == x

⇒ algebra.equations.linear.flip

x == 1/8