Exercise algebra.manipulation.exponential.equation

Description
solve exponential equation algebraically

Derivation

3^(x+5) == 243/sqrt 3

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

3^(x+5) == 3^5/sqrt 3

⇒ algebra.manipulation.exponents.reciprocal

3^(x+5) == 3^5*sqrt 3^(-1)

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

3^(x+5) == 3^5*(3^(1/2))^(-1)

⇒ algebra.manipulation.exponents.mul-exponents

3^(x+5) == 3^5*3^(-1/2)

⇒ algebra.manipulation.exponents.add-exponents

3^(x+5) == 3^(9/2)

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

x+5 == 9/2

⇒ algebra.equations.coverup.onevar.plus

x == -1/2