Nkọwa nke logarithm, njirimara ya na eserese

Logarithm nke nọmba bụ ike nke a ga-ebuli otu ọnụọgụ iji nweta ọzọ.

Ọ bụrụ na nọmba b ruo n'ókè y nhata x:

b^y = x

Ya mere, logarithm nke nọmba x n'ihi ya b is y:

y = abanye_b(X)

Ọmụmaatụ:

2⁴ = 16

abanye₂(16) = 4

Logarithm dị ka ọrụ ntụgharị na nkọwapụta

ọrụ logarithmic y = abanye_b(x) bụ ọrụ mgbagha nke exponential x=b ^y.

Ya mere, ọ bụrụ na anyị gbakọọ ọrụ exponential nke logarithm x (x> 0), ọ ga-apụta:

f (f ^-1(x)) = b^abanyeb^(x) = x

Ma ọ bụ ọ bụrụ na anyị gbakọọ logarithm nke ọrụ exponential х:

f ^-1(f (x)) = ndekọ_b(b^x) = x

logarithm eke (ln)

Logarithm eke bụ isi logarithm е.

ln (x) = ndekọ_e(x)

Number e bụ ihe na-adịgide adịgide nwere ike ịkọwa dị ka oke:

Ma ọ bụ otú ahụ:

Logarithm ntụgharị

Logarithm (ma ọ bụ antilogarithm) nke ọnụọgụgụ n bụ ọnụ ọgụgụ ya isi logarithm bụ a hà nhata na ọnụọgụgụ n.

ant log_an = aⁿ

Isiokwu Njirimara nke logarithms

N'okpuru ebe a bụ isi ihe nke logarithms na ụdị tabular.