Evaluate log717

The question appears to be written as "log717", which is likely a garbled version of a logarithm of a number. Let me work out the most plausible readings.

Analyze the question

"log717" could mean:

1. log₇ 17 (log of 17 to base 7)
2. log of 717 (base 10)

Reading 1: log₇ 17

Use the change of base formula:

log₇ 17 = log 17 / log 7

• log 17 ≈ 1.2304
• log 7 ≈ 0.8451

log₇ 17 = 1.2304 / 0.8451 ≈ 1.456

This is about 1.455 (the small difference comes from rounding in 4-figure tables). That matches option C.

Reading 2: log 717 (base 10)

log 717 ≈ 2.8555. None of the options match, so this reading is wrong.

Check the other options

• 0.455 would be log₇ 17 minus 1, which is the decimal part only and is not the full value.
• 1.35 and 1.353 do not match any sensible calculation here.

Answer

The question is log₇ 17 = log 17 / log 7 ≈ 1.455, which is option C.

Tip: When the base is not 10, use the change of base formula: log_a b = log b / log a. Also remember that 7¹ = 7 and 7² = 49, so log₇ 17 must lie between 1 and 2. This quickly eliminates D (0.455) and leaves C as the sensible choice.