Indices & Logarithms

b^m \times b^n = b^{m+n} = 128

x = b^m8.00

y = b^n16.00

log_b(x)3.00

Base (b)2

Exponent m3

Exponent n4

With base 2, m = 3 and n = 4, confirm 2³ × 2⁴ equals 2⁷ (both read 128)
Set m = 0 — confirm log_b(x) reads 0, since anything to the power 0 is 1
Switch the base to 10, with m = 2 and n = 3 — confirm log(100) + log(1000) = 5
Try any base, m and n — confirm the index law and the log law both check out at once
Set m to a negative value and confirm bᵐ becomes a fraction less than 1