Log Base 7 of 343

Logarithm Calculator
Log base
x

What is log₇ 343?

Answer

log7 343 =
3

log7 is the log base 7.

log7 343 is the power you raise 7 to, to get 343: 7y = 343.

7³ = 343 ✓

Oxy

Answer point (343, 3), beyond the drawing (the arrow points to it).

The curve y = log7 x passes through (1, 0) and (7, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 343 in different bases
BaseNotationValue
eln 343≈ 5.8377
10log 343≈ 2.5353
2log₂ 343≈ 8.4221
7log₇ 3433

See Also

Log base 7 of nearby numbers

xlog₇ x
10
71
8≈ 1.0686
3433

FAQ

What is log₇ 343?

log₇ 343 = 3

How to find log₇ 343 without a calculator?

Write 343 as a power of 7: 343 = 7³. The exponent is the answer: log₇ 343 = 3.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.