Today's soundtrack is Whitechapel: The Valley, an incredible progressive deathcore album (I never thought I'd write those two words in sequence like that). It has the deep deathcore growls and chugging guitars that one would expect from Whitechapel, but there are also clean singing sections, thoughtful guitar leads, and intricate drum patterns. The dynamics and changes are somewhat reminiscent of Opeth's "Ghost Reveries," but "The Valley" is a really unique album, and I'm enjoying it so far. It doesn't officially drop until tomorrow, but Kerrang published Metal Blade's streaming pre-release of the full album here! Give it a listen and let me know what you think on Twitter!
Now, on to today's lesson...
This afternoon, I'm learning how to solve equations involving exponents.
There are two kinds of equations with exponents:
The variable is the base
The variable is the exponent
These are called "exponential equations"
When solving an equation with a variable base and a rational exponent, we must use the rational exponent law by follow these three steps:
Isolate the variable
Find the reciprocal of the exponent
Raise both sides to the reciprocal exponent
See the section on rational exponents here
Simplify and solve for x
When solving an exponential equation (variable in exponent), we must follow these steps:
Change both sides to the same base
Drop the bases; equate the exponents
Solve for the variable