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In QBASIC, logarithmic operations can be performed using the `LOG` function, which computes the natural logarithm (base e) of a number. If you need to compute logarithms with a different base, you can use the change of base formula:
\[
\log_b(x) = \frac{\log_e(x)}{\log_e(b)}
\]
Where:
- \( \log_b(x) \) is the logarithm of \( x \) to base \( b \),
- \( \log_e(x) \) is the natural logarithm (base e) of \( x \),
- \( \log_e(b) \) is the natural logarithm of \( b \).
Here's an example of how you can perform logarithmic operations in QBASIC:
### Example: Natural Logarithm (Base e)
```qbasic
CLS
DIM num AS SINGLE
num = 10
PRINT "Natural Logarithm of "; num; " is "; LOG(num)
END
```
### Example: Logarithm with a Different Base (e.g., Base 10)
```qbasic
CLS
DIM num AS SINGLE, base AS SINGLE
num = 100
base = 10
PRINT "Logarithm of "; num; " to base "; base; " is "; LOG(num) / LOG(base)
END
```
In this example:
- The first program calculates the natural logarithm of `10`.
- The second program calculates the logarithm of `100` to base `10` using the change of base formula.
Let me know if you need more details or help with QBASIC!
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