Exercise
$5^{2x}-2\cdot5^x-15=0$
Step-by-step Solution
Learn how to solve implicit differentiation problems step by step online. Solve the exponential equation 5^(2x)-2*5^x+-15=0. Rewriting the exponent 5^{2x}. We can try to factor the expression \left(5^x\right)^2-2\cdot 5^x-15 by applying the following substitution. Substituting in the polynomial, the expression results in. Factor the trinomial u^2-2u-15 finding two numbers that multiply to form -15 and added form -2.
Solve the exponential equation 5^(2x)-2*5^x+-15=0
Final answer to the exercise
$x=1$