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A logarithm (log) is another way of writing exponents.
Logarithmic Form
Exponential Forn
Read as "log base b of a equals x."

A logarithm log is another way of writing exponents Logarithmic Form Exponential Forn Read as log base b of a equals x class=

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semsee45

Answer:

[tex]\log_{2}128=7[/tex]

[tex]\boxed{\begin{array}{c}\textsf{Logarithmic Form}\\\\\log_{b}a=x\end{array}} \rightarrow \boxed{\begin{array}{c}\textsf{Exponential Form}\\\\b^x=a\end{array}}[/tex]

Step-by-step explanation:

To write the exponential equation 2⁷ = 128 in logarithmic form, we can use the following rule:

[tex]\boxed{\begin{array}{c}\underline{\textsf{Logarithmic Rule}}\\\\\log_ab=c \iff a^c=b\end{array}}[/tex]

In this case:

  • a = 2
  • b = 128
  • c = 7

Therefore, the logarithmic form of 2⁷ = 128 is:

[tex]\LARGE\boxed{\boxed{\log_{2}128=7}}[/tex]

[tex]\hrulefill[/tex]

To express "Log base b of a equals x" mathematically, it would be written as:

[tex]\log_{b}a=x[/tex]

Here, b is the base of the logarithm, a is the argument of the logarithm, and x is the exponent to which the base b must be raised to obtain the value a. So, in exponent form it would be:

[tex]b^x=a[/tex]

[tex]\boxed{\begin{array}{c}\textsf{Logarithmic Form}\\\\\log_{b}a=x\end{array}} \rightarrow \boxed{\begin{array}{c}\textsf{Exponential Form}\\\\b^x=a\end{array}}[/tex]

missingchromosone

!<Answer>!

A logarithm, or log, is another way of writing exponents. It represents the power to which a base must be raised to obtain a certain number.

Logarithmic Form: log base b of a equals x. This means that the logarithm of a to the base b equals x.

Exponential Form: base^exponent = result. This means that the base raised to the exponent equals the result.

For example, let's consider the equation: log base 2 of 8 equals 3.

In logarithmic form, this equation can be written as: log base 2 (8) = 3. This means that the logarithm of 8 to the base 2 equals 3.

In exponential form, this equation can be written as: 2^3 = 8. This means that 2 raised to the power of 3 equals 8.

Both forms represent the same relationship between the base, exponent, and result. The logarithmic form provides a way to express exponents in a concise and convenient manner, while the exponential form shows the direct calculation of the result.

Sun <3

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