Chemistry · pH
a(H⁺) = 10⁻ᵖᴴ
At pH 7: a(H⁺) = 1 × 10⁻⁷.
For an ideal dilute solution, [H⁺] ≈ 10⁻⁷ mol/L. pH formally measures activity.Antilog Calculator
Reverse a logarithm. Explore the exponential curve. Connect maths to science.
Your logarithmic value
Real-number modeINVERSE LOGARITHMIC TRANSFORMantilog10(2) = 10²
The log value is an exponent.
If log₁₀(y) = 2, raise 10 to the power 2 to recover y = 100.
If log₁₀(y) = 2, raise 10 to the power 2 to recover y = 100.
Custom bases & valid inputs
Use b > 0 and b ≠ 1. Bases between 0 and 1 give decreasing curves. Negative exponents give positive reciprocals. Supported exponents: −1,000,000 to 1,000,000; bases: 1e−300 to 1e300. Calculations use floating-point precision; very large/small outputs remain in scientific notation. Selecting e uses the mathematical constant, not a shortened decimal.
ANTILOG RESULT · 10²100
Scientific notation: 1 × 10²
Selected base10 · Common
Exponent2
Inverse checklog₁₀(100) = 2
Your point on the exponential curve
y = 10ᵗSELECTED INPUT2 → 100One step in x multiplies y by 10.
From log form to exponential form
Step by step1Start with the logarithmic statementlog₁₀(y) = 2
2Rewrite using the same basey = 10²
3Evaluate the power10 × 10 = 100
VERIFIED BY THE INVERSElog₁₀(100) = 2
Negative exponent? Take the reciprocal.10⁻² = 1 / 10² = 0.01
Every real exponent gives a positive output when the base is valid.
The inverse relationship
Equal-unit zoom━ y = 10ˣ━ y = log₁₀(x)┄ y = x
Coordinates swap(2, 100) ↔ (100, 2)
Local zoom shows the reference pair (0, 1) ↔ (1, 0). The selected pair above is outside this zoom.
One operation. Three scientific connections.
Worked examples
Acoustics · decibels
P / P₀ = 10L/10
At 20 dB: power ratio = 100.
For amplitude ratios under matching conditions, use 20 in the denominator.
Computing · binary
2¹⁰ = 1,024
Ten binary digits give 1,024 possible patterns.
This counts all bit patterns from 0000000000 to 1111111111.Formula & interpretation
antilogb(x) = bˣ
logb(y) = x ⇔ y = bˣ
logb(y) = x ⇔ y = bˣ
Use the same base as the original logarithm: 10 for a common log, e for a natural log, or 2 for a binary log.
Domain matters.
b > 0, b ≠ 1 · x can be any real number · y is always positive. The base e is treated as the mathematical constant.
b > 0, b ≠ 1 · x can be any real number · y is always positive. The base e is treated as the mathematical constant.
Frequently asked questions
What is the antilog of zero?
For every valid base, b⁰ = 1.
Is antilog the same as the reciprocal of a log?
No. Antilog is the inverse function: bˣ. The expression 1/log(x) is different.
Can the base be between zero and one?
Yes. It produces a decreasing exponential function. The base cannot be zero, negative, or one in this real inverse-log mode.
What if the answer is extremely large or small?
Use scientific notation. A very small positive answer must not be mistaken for an exact zero.
Sources & Reference Guides
OpenStaxCollege Algebra · Logarithmic FunctionsInverse functions, valid bases and exponential form.IUPACGold Book · Definition of pHHydrogen ion activity and the concentration approximation.
Independent educational references · No institutional endorsement or expert review claimed.
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Reverse a logarithm. Explore the exponential curve. Connect maths to science.