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logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.

Ln is called the natural logarithm. It is also called the logarithm of the base e. Here, the constant e denotes a number that is a transcendental number and an irrational which is approximately equal to the value 2.71828182845. The natural logarithm (ln) can be represented as ln x or loge x.

We can easily calculate that ln 10 = 2.302585093... or 2.303 and log 10 = 1. So, the number has to be 2.303. Voila!

0:08 2:30 Converting an exponential equation to logarithmic - YouTube YouTube Start of suggested clip End of suggested clip But just say x equals e. No x equals. Four say a equals e. And then y equals x it's kind of reallyMoreBut just say x equals e. No x equals. Four say a equals e. And then y equals x it's kind of really confusing with the x's isn't. It. Let's do it another. Way. Notice how the x.

0:09 2:21 Logarithms - Converting Exponential into Log Form - YouTube YouTube Start of suggested clip End of suggested clip And the 4 which was the exponent. Actually just stays down here. So log base 3 of 81 equals 4 andMoreAnd the 4 which was the exponent. Actually just stays down here. So log base 3 of 81 equals 4 and that's perfectly equivalent to this first equation. Hopefully that makes sense to everyone good.

0:01 1:51 Converting from exponential to logarithmic - YouTube YouTube Start of suggested clip End of suggested clip So therefore all we're simply doing is just now taking just rewriting them in their form. So it'sMoreSo therefore all we're simply doing is just now taking just rewriting them in their form. So it's going to be negative 2 equals log base 1 over 36.

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.

Ln is called the natural logarithm. It is also called the logarithm of the base e. Here, the constant e denotes a number that is a transcendental number and an irrational which is approximately equal to the value 2.71828182845. The natural logarithm (ln) can be represented as ln x or loge x.

We can easily calculate that ln 10 = 2.302585093... or 2.303 and log 10 = 1. So, the number has to be 2.303. Voila!

0:08 2:30 Converting an exponential equation to logarithmic - YouTube YouTube Start of suggested clip End of suggested clip But just say x equals e. No x equals. Four say a equals e. And then y equals x it's kind of reallyMoreBut just say x equals e. No x equals. Four say a equals e. And then y equals x it's kind of really confusing with the x's isn't. It. Let's do it another. Way. Notice how the x.

0:09 2:21 Logarithms - Converting Exponential into Log Form - YouTube YouTube Start of suggested clip End of suggested clip And the 4 which was the exponent. Actually just stays down here. So log base 3 of 81 equals 4 andMoreAnd the 4 which was the exponent. Actually just stays down here. So log base 3 of 81 equals 4 and that's perfectly equivalent to this first equation. Hopefully that makes sense to everyone good.

0:01 1:51 Converting from exponential to logarithmic - YouTube YouTube Start of suggested clip End of suggested clip So therefore all we're simply doing is just now taking just rewriting them in their form. So it'sMoreSo therefore all we're simply doing is just now taking just rewriting them in their form. So it's going to be negative 2 equals log base 1 over 36.