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varshamittal029

The expression log₆5+log₆x as a single logarithm is log₆5x.

The logarithm is exponent's inverse function in mathematics. This indicates that the exponent to which a fixed number(say a) at base b, must be raised in order to create a  number x, is represented by the logarithm of that number.

For example if 8=2³ can be written in the logarithmic form as

log₂8=3.

The general properties of logarithm for a fixed base are:

  • logₐa=1
  • logₐx+logₐy=logₐxy
  • logₐx-logₐy=logₐ(x/y)
  • logₐxⁿ=n logₐx
  • logₓy=(logₐy)/(logₐx)

Here the given logarithmic expression is (log₆5+log₆x)

So according to the properties of logarithms we can use the above property "logₐx+logₐy=logₐxy" to simplify the given expression.

Therefore:

log₆5+log₆x

=log₆(5×x)

=log₆5x

Hence written as a single logarithm the expression is log₆5x.

To learn more about logarithm visit:

https://brainly.com/question/20785664

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