Math Algebra • Exponential and Logarithmic Functions
Blue: \(y=E(x)\). Orange: \(y=\tilde E(x)\) (simplified). Drag to pan; mouse wheel zooms (Shift = y-zoom, Ctrl = gentler zoom). Double-click resets view. Axis numbers are shown; probe point prints coordinates when enabled.
Use ^ for exponents and * for multiplication, and you can also type implicit multiplication like 2x. Constants such as e and pi are supported, along with common functions like exp, ln, log, sqrt, and abs.
It rewrites numbers with a common base (for example, 4 as 2^2 or 8 as 2^3) so powers can be combined using exponent rules. This often turns products and quotients of exponentials into a single power with a simpler exponent.
Simplification rewrites an expression into an equivalent form using exponent laws, so the appearance can change while the value stays the same on the domain where the expression is defined. The graph comparison and probe evaluation help confirm equivalence over chosen x-values.
It sets how closely the calculator checks numerical agreement between the original and simplified expressions when comparing values. A tighter tolerance demands closer numerical matching and can be useful when rounding or floating-point effects matter.
Enable it when you want outputs like a^(1/2) shown as a square root or a^(m/n) shown as an nth root form. This is most helpful when the exponent is a simple rational number and radical notation improves readability.